AnswersAlgebra II - MA3111 A-CRMultiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions Answers

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Which expression is equivalent to ?

Question illustration
A
StartFraction c + 3 Over c squared minus 4 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
Option A
B
StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
Option B
C
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
Option C
D
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
Option D
2
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What is the quotient?

Question illustration
A
StartFraction 2 Over 3 (y minus 5) EndFraction
Option A
B
StartFraction 3 (y minus 5) Over 2 EndFraction
Option B
C
StartFraction (y minus 5) (y + 2) squared Over 6 (y + 3) squared EndFraction
Option C
D
StartFraction 3 (y + 5) (y minus 2) Over 2 (y + 2) EndFraction
Option D
3

What is the product?

Question illustration
A
StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
Option A
B
StartFraction x (x minus 1) Over 2 EndFraction
Option B
C
StartFraction (x + 4) (x minus 4) Over 2 x (x minus 1) EndFraction
Option C
D
StartFraction (x minus 4) (x minus 1) Over 2 x (x + 4) EndFraction
Option D
4

What is the product?

Question illustration
A
6(x – 1)2
B
6(x2 – 1)
C
(x + 1)(6x – 1)
D
(x – 1)(6x – 1)
5

Which expression is equivalent to ?

Question illustration
A
StartFraction 2 a Over (2 a minus 1) squared EndFraction
Option A
B
StartFraction 50 a Over (2 a + 1) squared EndFraction
Option B
C
StartFraction (2 a minus 1) squared Over 2 a EndFraction
Option C
D
StartFraction (2 a + 1) squared Over 50 a EndFraction
Option D
6

Simplify the expression below.What is the numerator of the simplified expression?

Question illustration
A
2
B
n
C
3n – 2
D
3n + 2
7

What is the denominator of the simplified expression?

Question illustration
A
2
B
n
C
mc027-2.jpg
Option C
D
mc027-3.jpg
Option D
8

What is the product?

Question illustration
A
One-third
Option A
B
StartFraction 1 Over 3 a EndFraction
Option B
C
3 a
Option C
D
3
10

What is the quotient?

Question illustration
A
StartFraction 24 Over (m + 2) squared EndFraction
Option A
B
StartFraction (m + 2) squared Over 24 EndFraction
Option B
C
Two-thirds
Option C
D
Three-halves
Option D

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