Chapter 8: Q 119. (page 931)

Divide Rational Expressions: $\frac{\frac{12 c^{2} - 12}{2 c^{2} - 3 c + 1}}{\frac{4 c + 4}{6 c^{2} - 13 c + 5}}$

Short Answer

Expert verified

The required answer is $9 c - 15$ .

Step by step solution

Step 1. Given information.

The given expression is $\frac{\frac{12 c^{2} - 12}{2 c^{2} - 3 c + 1}}{\frac{4 c + 4}{6 c^{2} - 13 c + 5}}$

Step 2. Simplify the expression.

$\frac{\frac{12 c^{2} - 12}{2 c^{2} - 3 c + 1}}{\frac{4 c + 4}{6 c^{2} - 13 c + 5}}$

Apply the fraction rule.

$\frac{(12 c^{2} - 12) (6 c^{2} - 13 c + 5)}{(2 c^{2} - 3 c + 1) (4 c + 4)} = \frac{12 (c + 1) (c - 1) (6 c^{2} - 13 c + 5)}{(2 c - 1) (c - 1) (4 c + 4)} = \frac{12 (c + 1) (6 c^{2} - 13 c + 5)}{(2 c - 1) (4 c + 4)} = \frac{12 (c + 1) (2 c - 1) (3 c - 5)}{(2 c - 1) (4 c + 4)} = \frac{12 (c + 1) (3 c - 5)}{4 (c + 1)} = \frac{12 (3 c - 5)}{4} = 3 (3 c - 5) = 9 c - 15$

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Divide Rational Expressions: $\frac{\frac{12 c^{2} - 12}{2 c^{2} - 3 c + 1}}{\frac{4 c + 4}{6 c^{2} - 13 c + 5}}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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Divide Rational Expressions: 12c2 − 122c2 − 3c + 14c + 46c2 − 13c + 5

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Divide Rational Expressions: $\frac{\frac{12 c^{2} - 12}{2 c^{2} - 3 c + 1}}{\frac{4 c + 4}{6 c^{2} - 13 c + 5}}$