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Question 1 of 5Simplify each:

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$$\frac{x^2 - 7x + 12}{x^2 - 10x + 21}÷ \frac{4x + 8}{x^2 - 5x - 14}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{x + 2}{2}$$
B
$$\frac{x - 4}{4}$$
C
$$x - 5$$
D
$$\frac{6}{(x - 3)(x + 7)}$$
E
$$\frac{-1}{x - 3}$$
Question 2 of 5Simplify each:
$$\frac{2x + 4}{x + 2}\cdot \frac{9x^3 + 9x^2}{9x + 9}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{x + 4}{x - 8}$$
B
$$\frac{(x - 6)(x - 2)}{4}$$
C
$$2x^2$$
D
$$\frac{x + 5}{8(x - 8)}$$
E
$$x - 1$$
Question 3 of 5Simplify each:

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$$\frac{5x + 35}{7x^3 - 35x^2}÷ \frac{10x + 20}{14x^3 + 28x^2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{x + 8}{2}$$
B
$$\frac{x + 7}{x - 5}$$
C
$$\frac{x + 4}{x + 2}$$
D
$$\frac{5(x - 8)}{3}$$
E
$$8x - 1$$
Question 4 of 5Simplify each:

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$$\frac{5x^2 - 32x + 35}{7x - 10}\cdot \frac{7x^2 + 11x - 30}{15x - 21}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{1}{x^2(x - 5)}$$
B
$$\frac{8x}{7}$$
C
$$\frac{(x - 5)(x + 3)}{3}$$
D
$$x - 7$$
E
$$x + 2$$
Question 5 of 5Simplify each:

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$$\frac{5x^2 + 12x - 32}{12x - 20}\cdot \frac{12x - 20}{35x^3 - 56x^2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{x + 4}{7x^2}$$
B
$$\frac{2}{x(x + 1)}$$
C
$$x(x - 2)$$
D
$$\frac{(x - 6)(x + 3)}{8}$$
E
$$\frac{x - 1}{x + 3}$$

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