Question 1

Reduce the rational expression to lowest terms. $\frac { - 7 w ^ { 7 } } { 2 w ^ { 5 } }$

Accepted Answer

A)  $\frac { 7 w ^ { 2 } } { 2 }$ 
B)  $- \frac { 7 w ^ { 12 } } { 2 }$ 
C)  $- \frac { 7 w ^ { 3 } } { 2 }$ 
D)  $- \frac { 7 w ^ { 2 } } { 2 }$ 
E)  $\frac { 7 w ^ { 3 } } { 2 }$ 
A)  $\frac { 7 w ^ { 2 } } { 2 }$ 
B)  $- \frac { 7 w ^ { 12 } } { 2 }$ 
C)  $- \frac { 7 w ^ { 3 } } { 2 }$ 
D)  $- \frac { 7 w ^ { 2 } } { 2 }$ 
E)  $\frac { 7 w ^ { 3 } } { 2 }$

Question 2

Divide. $\frac { 1 - 16 x ^ { 2 } - 12 x ^ { 4 } } { 4 x ^ { 2 } }$

Accepted Answer

The answer of Divide. \(\frac { 1 - 16 x...

Question 3

Find the product. $- \frac { 5 } { 9 } a ^ { 2 } b ^ { 4 } \left( \frac { 3 } { 7 } a ^ { 3 } b ^ { 2 } - \frac { 3 } { 5 } a b - \frac { 15 } { 16 } b ^ { 4 } \right)$

Accepted Answer

A)  $- \frac { 5 } { 21 } a ^ { 6 } b ^ { 6 } + \frac { 1 } { 3 } a ^ { 2 } b ^ { 5 } + \frac { 1 } { 48 } a ^ { 2 } b ^ { 6 }$ 
B)  $- \frac { 5 } { 21 } a ^ { 5 } b ^ { 6 } + \frac { 1 } { 3 } a ^ { 3 } b ^ { 5 } + \frac { 25 } { 48 } a ^ { 2 } b ^ { 6 }$ 
C)  $- \frac { 5 } { 21 } a ^ { 5 } b ^ { 5 } + \frac { 1 } { 3 } a ^ { 3 } b ^ { 4 } - \frac { 25 } { 48 } a ^ { 2 } b ^ { 8 }$ 
D)  $- \frac { 5 } { 21 } a ^ { 5 } b ^ { 6 } + \frac { 1 } { 3 } a ^ { 3 } b ^ { 5 } + \frac { 25 } { 48 } a ^ { 2 } b ^ { 8 }$ 
E)  $- \frac { 1 } { 21 } a ^ { 5 } b ^ { 6 } + \frac { 1 } { 3 } a ^ { 3 } b ^ { 5 } + \frac { 25 } { 48 } a ^ { 2 } b ^ { 8 }$ 
A)  $- \frac { 5 } { 21 } a ^ { 6 } b ^ { 6 } + \frac { 1 } { 3 } a ^ { 2 } b ^ { 5 } + \frac { 1 } { 48 } a ^ { 2 } b ^ { 6 }$ 
B)  $- \frac { 5 } { 21 } a ^ { 5 } b ^ { 6 } + \frac { 1 } { 3 } a ^ { 3 } b ^ { 5 } + \frac { 25 } { 48 } a ^ { 2 } b ^ { 6 }$ 
C)  $- \frac { 5 } { 21 } a ^ { 5 } b ^ { 5 } + \frac { 1 } { 3 } a ^ { 3 } b ^ { 4 } - \frac { 25 } { 48 } a ^ { 2 } b ^ { 8 }$ 
D)  $- \frac { 5 } { 21 } a ^ { 5 } b ^ { 6 } + \frac { 1 } { 3 } a ^ { 3 } b ^ { 5 } + \frac { 25 } { 48 } a ^ { 2 } b ^ { 8 }$ 
E)  $- \frac { 1 } { 21 } a ^ { 5 } b ^ { 6 } + \frac { 1 } { 3 } a ^ { 3 } b ^ { 5 } + \frac { 25 } { 48 } a ^ { 2 } b ^ { 8 }$

Question 4

Find the product. $x y \left( 5 x + 4 x y - y ^ { 2 } \right) - 4 x y ^ { 2 } ( 4 x - x y + 5 y )$

Accepted Answer

A)  $5 x ^ { 2 } y - 4 x ^ { 2 } y ^ { 2 } - x ^ { 3 } + 12 x ^ { 2 } y ^ { 3 } - 21 y ^ { 3 }$ 
B)  $5 x ^ { 2 } y - 12 x ^ { 2 } y ^ { 2 } + 4 x ^ { 2 } y ^ { 3 } - 21 x y ^ { 3 }$ 
C)  $5 x ^ { 2 } y - 12 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } - 21 x y ^ { 3 }$ 
D)  $5 x ^ { 2 } y - 21 x ^ { 2 } y ^ { 2 } - x ^ { 3 } + 4 x ^ { 2 } y ^ { 3 } + 12 x y ^ { 3 }$ 
E)  $5 x ^ { 2 } y ^ { 2 } - 12 x ^ { 2 } y ^ { 2 } + x y ^ { 3 } + 4 x ^ { 2 } y ^ { 2 } - 21 x y ^ { 2 }$ 
A)  $5 x ^ { 2 } y - 4 x ^ { 2 } y ^ { 2 } - x ^ { 3 } + 12 x ^ { 2 } y ^ { 3 } - 21 y ^ { 3 }$ 
B)  $5 x ^ { 2 } y - 12 x ^ { 2 } y ^ { 2 } + 4 x ^ { 2 } y ^ { 3 } - 21 x y ^ { 3 }$ 
C)  $5 x ^ { 2 } y - 12 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } - 21 x y ^ { 3 }$ 
D)  $5 x ^ { 2 } y - 21 x ^ { 2 } y ^ { 2 } - x ^ { 3 } + 4 x ^ { 2 } y ^ { 3 } + 12 x y ^ { 3 }$ 
E)  $5 x ^ { 2 } y ^ { 2 } - 12 x ^ { 2 } y ^ { 2 } + x y ^ { 3 } + 4 x ^ { 2 } y ^ { 2 } - 21 x y ^ { 2 }$

Question 5

Add.
( $2 x ^ { 4 }$ - $2 x ^ { 2 }$ + $5$ ) + ( $5 x ^ { 4 }$ - $9 x ^ { 2 }$ + $2$ ) + ( $2 x ^ { 4 }$ - $7 x ^ { 2 }$ )

Accepted Answer

The answer of Add.
( $2 x ^ { 4 }$...

Question 6

Let $n = 4$ and $p = 10$ and evaluate the expression. $\frac { 5 ( n + p ) - 5 n } { 4 ( p - n ) }$

Accepted Answer

A)  $3 \frac { 1 } { 6 }$ 
B)  $1 \frac { 7 } { 18 }$ 
C)  $2 \frac { 1 } { 12 }$ 
D)  $2 \frac { 1 } { 24 }$ 
E)  $\frac { 5 } { 12 }$ 
A)  $3 \frac { 1 } { 6 }$ 
B)  $1 \frac { 7 } { 18 }$ 
C)  $2 \frac { 1 } { 12 }$ 
D)  $2 \frac { 1 } { 24 }$ 
E)  $\frac { 5 } { 12 }$

Question 7

Reduce the rational expression to lowest terms. $\frac { - 7 w ^ { 6 } } { 4 w ^ { 4 } }$

Accepted Answer

The answer of Reduce the rational expression to lowest terms....

Question 8

Find the product. $\frac { 1 } { 2 } a ^ { 2 } b \left( 8 a b ^ { 2 } - 2 a ^ { 2 } b \right)$

Accepted Answer

The answer of Find the product. \(\frac { 1 }...

Question 9

Let p = - 4, q = - 4, and z = - 2, and evaluate the expression. $p ^ { 3 } - 7 q z ^ { 3 }$

Accepted Answer

A)  -176 
B)  176 
C)  48 
D)  -120 
E)  20 
A)  -176 
B)  176 
C)  48 
D)  -120 
E)  20

Question 10

Find the quotient and check. $\frac { 81 m ^ { 4 } - 16 } { 3 m + 2 }$

Accepted Answer

A)  $27 m ^ { 3 } - 25 m ^ { 2 } + 19 m - 18$ 
B)  $28 m ^ { 3 } - 19 m ^ { 2 } + 14 m + 14$ 
C)  $27 m ^ { 3 } - 22 m ^ { 2 } + 17 m - 8$ 
D)  $27 m ^ { 3 } - 25 m ^ { 2 } - 17 m - 8$ 
E)  $27 m ^ { 3 } - 18 m ^ { 2 } + 12 m - 8$ 
A)  $27 m ^ { 3 } - 25 m ^ { 2 } + 19 m - 18$ 
B)  $28 m ^ { 3 } - 19 m ^ { 2 } + 14 m + 14$ 
C)  $27 m ^ { 3 } - 22 m ^ { 2 } + 17 m - 8$ 
D)  $27 m ^ { 3 } - 25 m ^ { 2 } - 17 m - 8$ 
E)  $27 m ^ { 3 } - 18 m ^ { 2 } + 12 m - 8$

Question 11

Find the quotient and check. $\frac { 4 m ^ { 3 } + 4 m ^ { 2 } - 39 m + 10 } { 2 m - 5 }$

Accepted Answer

The answer of Find the quotient and check. \(\frac {...

Question 12

Let m = 3, y = 3 and k = 2, and evaluate the expression. $( 4 - m ) ^ { 2 } ( k - y )$

Accepted Answer

A)  6 
B)  -2 
C)  -1 
D)  -9 
A)  6 
B)  -2 
C)  -1 
D)  -9

Question 13

Divide the monomials. $\frac { 35 z ^ { 7 } } { 7 z ^ { 2 } }$

Accepted Answer

A)  $5 z ^ { 5 }$ 
B)  $5 z ^ { 9 }$ 
C)  $7 z ^ { 9 }$ 
D)  $49 z ^ { 5 }$ 
E)  $28 z ^ { 5 }$ 
A)  $5 z ^ { 5 }$ 
B)  $5 z ^ { 9 }$ 
C)  $7 z ^ { 9 }$ 
D)  $49 z ^ { 5 }$ 
E)  $28 z ^ { 5 }$

Question 14

Let m = 2 and z = 4, and evaluate the expression. $6 m ^ { 2 } - 7 z ^ { 2 }$

Accepted Answer

A)  -400 
B)  -88 
C)  -424 
D)  472 
E)  -304 
A)  -400 
B)  -88 
C)  -424 
D)  472 
E)  -304

Question 15

Let p = - 1 and y = 3 and z = 2 and evaluate the expression. $3 p ^ { 2 } ( y - 4 z ) ^ { 2 } - 5 p$

Accepted Answer

A)  70 
B)  -24 
C)  80 
D)  368 
E)  -70 
A)  70 
B)  -24 
C)  80 
D)  368 
E)  -70

Question 16

Divide. $\left( - 272 x ^ { 2 } z ^ { 3 } \right) \div \left( 340 x ^ { 5 } y ^ { 2 } z \right)$

Accepted Answer

A)  $\frac { 4 z } { 5 x ^ { 3 } y ^ { 2 } }$ 
B)  $\frac { - 4 z ^ { 3 } } { 5 x ^ { 2 } y ^ { 2 } }$ 
C)  $\frac { - 4 z ^ { 2 } } { 5 x ^ { 3 } y ^ { 2 } }$ 
D)  $- 4 z ^ { 2 } x ^ { 3 }$ 
E)  $\frac { - 4 x ^ { 3 } } { 5 z ^ { 2 } y ^ { 2 } }$ 
A)  $\frac { 4 z } { 5 x ^ { 3 } y ^ { 2 } }$ 
B)  $\frac { - 4 z ^ { 3 } } { 5 x ^ { 2 } y ^ { 2 } }$ 
C)  $\frac { - 4 z ^ { 2 } } { 5 x ^ { 3 } y ^ { 2 } }$ 
D)  $- 4 z ^ { 2 } x ^ { 3 }$ 
E)  $\frac { - 4 x ^ { 3 } } { 5 z ^ { 2 } y ^ { 2 } }$

Question 17

Find the product. $\left( \frac { 1 } { 2 } x ^ { 2 } m ^ { 4 } \right) \left( \frac { 8 } { 11 } x m ^ { 4 } \right)$

Accepted Answer

The answer of Find the product. \(\left( \frac { 1...

Question 18

Let $n$ = $3$ and $p$ = $4$ and evaluate the expression. $44 n ^ { 2 } - 43 p ^ { 2 }$

Accepted Answer

A)  -291 
B)  -40 
C)  -292 
D)  -12,160 
E)  1,084 
A)  -291 
B)  -40 
C)  -292 
D)  -12,160 
E)  1,084

Question 19

Divide. $\frac { - 165 r s ^ { 7 } } { - 33 r ^ { 2 } s ^ { 6 } }$

Accepted Answer

The answer of Divide. \(\frac { - 165 r s...

Question 20

Find the product. $( 2 x - 3 y + 8 ) ( 4 x - 5 y - 1 )$

Accepted Answer

A)  $8 x ^ { 2 } + 16 x y ^ { 2 } + 10 y ^ { 2 } + 8 x - 37 y - 30$ 
B)  $8 x ^ { 2 } + 18 x y + 15 y ^ { 2 } + 37 x - 30 y - 8$ 
C)  $8 x ^ { 2 } - 18 x y + 15 y ^ { 2 } + 37 x - 30 y - 8$ 
D)  $8 x ^ { 2 } - 22 x y + 15 y ^ { 2 } + 30 x - 37 y - 8$ 
E)  $8 x ^ { 2 } - 22 x y + 12 y ^ { 2 } + 30 x + 37 y - 30$ 
A)  $8 x ^ { 2 } + 16 x y ^ { 2 } + 10 y ^ { 2 } + 8 x - 37 y - 30$ 
B)  $8 x ^ { 2 } + 18 x y + 15 y ^ { 2 } + 37 x - 30 y - 8$ 
C)  $8 x ^ { 2 } - 18 x y + 15 y ^ { 2 } + 37 x - 30 y - 8$ 
D)  $8 x ^ { 2 } - 22 x y + 15 y ^ { 2 } + 30 x - 37 y - 8$ 
E)  $8 x ^ { 2 } - 22 x y + 12 y ^ { 2 } + 30 x + 37 y - 30$

Reduce the rational expression to lowest terms. $\frac { - 7 w ^ { 7 } } { 2 w ^ { 5 } }$

Divide. $\frac { 1 - 16 x ^ { 2 } - 12 x ^ { 4 } } { 4 x ^ { 2 } }$

Find the product. $- \frac { 5 } { 9 } a ^ { 2 } b ^ { 4 } \left( \frac { 3 } { 7 } a ^ { 3 } b ^ { 2 } - \frac { 3 } { 5 } a b - \frac { 15 } { 16 } b ^ { 4 } \right)$

Find the product. $x y \left( 5 x + 4 x y - y ^ { 2 } \right) - 4 x y ^ { 2 } ( 4 x - x y + 5 y )$

Add. ( $2 x ^ { 4 }$ - $2 x ^ { 2 }$ + $5$ ) + ( $5 x ^ { 4 }$ - $9 x ^ { 2 }$ + $2$ ) + ( $2 x ^ { 4 }$ - $7 x ^ { 2 }$ )

Let $n = 4$ and $p = 10$ and evaluate the expression. $\frac { 5 ( n + p ) - 5 n } { 4 ( p - n ) }$

Reduce the rational expression to lowest terms. $\frac { - 7 w ^ { 6 } } { 4 w ^ { 4 } }$

Find the product. $\frac { 1 } { 2 } a ^ { 2 } b \left( 8 a b ^ { 2 } - 2 a ^ { 2 } b \right)$

Let p = - 4, q = - 4, and z = - 2, and evaluate the expression. $p ^ { 3 } - 7 q z ^ { 3 }$

Find the quotient and check. $\frac { 81 m ^ { 4 } - 16 } { 3 m + 2 }$

Find the quotient and check. $\frac { 4 m ^ { 3 } + 4 m ^ { 2 } - 39 m + 10 } { 2 m - 5 }$

Let m = 3, y = 3 and k = 2, and evaluate the expression. $( 4 - m ) ^ { 2 } ( k - y )$

Divide the monomials. $\frac { 35 z ^ { 7 } } { 7 z ^ { 2 } }$

Let m = 2 and z = 4, and evaluate the expression. $6 m ^ { 2 } - 7 z ^ { 2 }$

Let p = - 1 and y = 3 and z = 2 and evaluate the expression. $3 p ^ { 2 } ( y - 4 z ) ^ { 2 } - 5 p$

Divide. $\left( - 272 x ^ { 2 } z ^ { 3 } \right) \div \left( 340 x ^ { 5 } y ^ { 2 } z \right)$

Find the product. $\left( \frac { 1 } { 2 } x ^ { 2 } m ^ { 4 } \right) \left( \frac { 8 } { 11 } x m ^ { 4 } \right)$

Let $n$ = $3$ and $p$ = $4$ and evaluate the expression. $44 n ^ { 2 } - 43 p ^ { 2 }$

Divide. $\frac { - 165 r s ^ { 7 } } { - 33 r ^ { 2 } s ^ { 6 } }$

Find the product. $( 2 x - 3 y + 8 ) ( 4 x - 5 y - 1 )$

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 5: Polynomials: an Introduction to Algebra

Reduce the rational expression to lowest terms. −7w72w5\frac { - 7 w ^ { 7 } } { 2 w ^ { 5 } }2w5−7w7​

Divide. 1−16x2−12x44x2\frac { 1 - 16 x ^ { 2 } - 12 x ^ { 4 } } { 4 x ^ { 2 } }4x21−16x2−12x4​

Find the product. −59a2b4(37a3b2−35ab−1516b4)- \frac { 5 } { 9 } a ^ { 2 } b ^ { 4 } \left( \frac { 3 } { 7 } a ^ { 3 } b ^ { 2 } - \frac { 3 } { 5 } a b - \frac { 15 } { 16 } b ^ { 4 } \right)−95​a2b4(73​a3b2−53​ab−1615​b4)

Find the product. xy(5x+4xy−y2)−4xy2(4x−xy+5y)x y \left( 5 x + 4 x y - y ^ { 2 } \right) - 4 x y ^ { 2 } ( 4 x - x y + 5 y )xy(5x+4xy−y2)−4xy2(4x−xy+5y)

Add. ( 2x42 x ^ { 4 }2x4 - 2x22 x ^ { 2 }2x2 + 555 ) + ( 5x45 x ^ { 4 }5x4 - 9x29 x ^ { 2 }9x2 + 222 ) + ( 2x42 x ^ { 4 }2x4 - 7x27 x ^ { 2 }7x2 )

Let n=4n = 4n=4 and p=10p = 10p=10 and evaluate the expression. 5(n+p)−5n4(p−n)\frac { 5 ( n + p ) - 5 n } { 4 ( p - n ) }4(p−n)5(n+p)−5n​

Reduce the rational expression to lowest terms. −7w64w4\frac { - 7 w ^ { 6 } } { 4 w ^ { 4 } }4w4−7w6​

Find the product. 12a2b(8ab2−2a2b)\frac { 1 } { 2 } a ^ { 2 } b \left( 8 a b ^ { 2 } - 2 a ^ { 2 } b \right)21​a2b(8ab2−2a2b)

Let p = - 4, q = - 4, and z = - 2, and evaluate the expression. p3−7qz3p ^ { 3 } - 7 q z ^ { 3 }p3−7qz3

Find the quotient and check. 81m4−163m+2\frac { 81 m ^ { 4 } - 16 } { 3 m + 2 }3m+281m4−16​

Find the quotient and check. 4m3+4m2−39m+102m−5\frac { 4 m ^ { 3 } + 4 m ^ { 2 } - 39 m + 10 } { 2 m - 5 }2m−54m3+4m2−39m+10​

Let m = 3, y = 3 and k = 2, and evaluate the expression. (4−m)2(k−y)( 4 - m ) ^ { 2 } ( k - y )(4−m)2(k−y)

Divide the monomials. 35z77z2\frac { 35 z ^ { 7 } } { 7 z ^ { 2 } }7z235z7​

Let m = 2 and z = 4, and evaluate the expression. 6m2−7z26 m ^ { 2 } - 7 z ^ { 2 }6m2−7z2

Let p = - 1 and y = 3 and z = 2 and evaluate the expression. 3p2(y−4z)2−5p3 p ^ { 2 } ( y - 4 z ) ^ { 2 } - 5 p3p2(y−4z)2−5p

Divide. (−272x2z3)÷(340x5y2z)\left( - 272 x ^ { 2 } z ^ { 3 } \right) \div \left( 340 x ^ { 5 } y ^ { 2 } z \right)(−272x2z3)÷(340x5y2z)

Find the product. (12x2m4)(811xm4)\left( \frac { 1 } { 2 } x ^ { 2 } m ^ { 4 } \right) \left( \frac { 8 } { 11 } x m ^ { 4 } \right)(21​x2m4)(118​xm4)

Let nnn = 333 and ppp = 444 and evaluate the expression. 44n2−43p244 n ^ { 2 } - 43 p ^ { 2 }44n2−43p2

Divide. −165rs7−33r2s6\frac { - 165 r s ^ { 7 } } { - 33 r ^ { 2 } s ^ { 6 } }−33r2s6−165rs7​

Find the product. (2x−3y+8)(4x−5y−1)( 2 x - 3 y + 8 ) ( 4 x - 5 y - 1 )(2x−3y+8)(4x−5y−1)

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Reduce the rational expression to lowest terms. $\frac { - 7 w ^ { 7 } } { 2 w ^ { 5 } }$

Divide. $\frac { 1 - 16 x ^ { 2 } - 12 x ^ { 4 } } { 4 x ^ { 2 } }$

Find the product. $- \frac { 5 } { 9 } a ^ { 2 } b ^ { 4 } \left( \frac { 3 } { 7 } a ^ { 3 } b ^ { 2 } - \frac { 3 } { 5 } a b - \frac { 15 } { 16 } b ^ { 4 } \right)$

Find the product. $x y \left( 5 x + 4 x y - y ^ { 2 } \right) - 4 x y ^ { 2 } ( 4 x - x y + 5 y )$

Add. ( $2 x ^ { 4 }$ - $2 x ^ { 2 }$ + $5$ ) + ( $5 x ^ { 4 }$ - $9 x ^ { 2 }$ + $2$ ) + ( $2 x ^ { 4 }$ - $7 x ^ { 2 }$ )

Let $n = 4$ and $p = 10$ and evaluate the expression. $\frac { 5 ( n + p ) - 5 n } { 4 ( p - n ) }$

Reduce the rational expression to lowest terms. $\frac { - 7 w ^ { 6 } } { 4 w ^ { 4 } }$

Find the product. $\frac { 1 } { 2 } a ^ { 2 } b \left( 8 a b ^ { 2 } - 2 a ^ { 2 } b \right)$

Let p = - 4, q = - 4, and z = - 2, and evaluate the expression. $p ^ { 3 } - 7 q z ^ { 3 }$

Find the quotient and check. $\frac { 81 m ^ { 4 } - 16 } { 3 m + 2 }$

Find the quotient and check. $\frac { 4 m ^ { 3 } + 4 m ^ { 2 } - 39 m + 10 } { 2 m - 5 }$

Let m = 3, y = 3 and k = 2, and evaluate the expression. $( 4 - m ) ^ { 2 } ( k - y )$

Divide the monomials. $\frac { 35 z ^ { 7 } } { 7 z ^ { 2 } }$

Let m = 2 and z = 4, and evaluate the expression. $6 m ^ { 2 } - 7 z ^ { 2 }$

Let p = - 1 and y = 3 and z = 2 and evaluate the expression. $3 p ^ { 2 } ( y - 4 z ) ^ { 2 } - 5 p$

Divide. $\left( - 272 x ^ { 2 } z ^ { 3 } \right) \div \left( 340 x ^ { 5 } y ^ { 2 } z \right)$

Find the product. $\left( \frac { 1 } { 2 } x ^ { 2 } m ^ { 4 } \right) \left( \frac { 8 } { 11 } x m ^ { 4 } \right)$

Let $n$ = $3$ and $p$ = $4$ and evaluate the expression. $44 n ^ { 2 } - 43 p ^ { 2 }$

Divide. $\frac { - 165 r s ^ { 7 } } { - 33 r ^ { 2 } s ^ { 6 } }$

Find the product. $( 2 x - 3 y + 8 ) ( 4 x - 5 y - 1 )$