Free Printable multiplying & dividing Rational expressions

1.

$\frac{x^2+6x+8}{x+4}\div\ \frac{x^2-4}{4x-8}$

a)

$\frac{\left(x+2\right)^2}{4}$

b)

4

c)

$\frac{4x-8}{x-2}$

d)

$\frac{1}{4}$

2.

$\frac{x^2-2x-15}{12x^2+40x+12}\cdot\ \frac{12x^2+4x}{3x^3-15x^2}$

a)

$\frac{1}{4}$

b)

$3x$

c)

$\frac{1}{3x}$

d)

$\frac{1}{3}$

3.

$\frac{x^2+4x-12}{2x^2-x-6}\div\frac{x^2+x-2}{2x^2+x-3}$

a)

$\frac{x+6}{x+2}$

b)

$\frac{x-6}{x+2}$

c)

$\frac{x+6}{x-2}$

d)

$\frac{x-6}{x-2}$

4.

$\frac{6x-6}{x}\cdot\frac{2x^2}{9x-9}$

a)

$\frac{4x}{3}$

b)

$\frac{3}{4x}$

c)

$\frac{54x^2+108x+54}{2x^3}$

d)

$\frac{12x^3-12x^2}{9x^2-9x}$

5.

Simplify: $\frac{x^2-9\ }{x^2+6x+9}$

a)

$1$

b)

$\frac{1}{x+3}$

c)

$\frac{x+3}{x-3}$

d)

$\frac{x-3}{x+3}$

6.

Simplify: $\frac{x^{2\ }+16}{x+4}$

a)

$x-16$

b)

$x+4$

c)

$x-4$

d)

$\frac{x^2+16}{x+4}$

7.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

8.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

9.

Simplify.

a)

A

b)

B

c)

C

d)

D

10.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

multiplying & dividing Rational expressions

Total questions: 10

Worksheet time: 23mins

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