Chapter 7: Q. 389 (page 737)

Divide $\frac{x^{2} - 4 x - 12}{x^{2} + 8 x + 12} \div \frac{x^{2} - 36}{3 x}$

Short Answer

Expert verified

The rational factor is undefined if $u = 6, u = - 5 .$

Step by step solution

Step 1. Given information

Given that the rational expression is $\frac{x^{2} - 4 x - 12}{x^{2} + 8 x + 12} \div \frac{x^{2} - 36}{3 x}$ and taken as $\frac{u - 3}{u^{2} - u - 30} .$

Step 2. Simplification

There is an undefined expression when the denominator will equal to zero.

$u^{2} - u - 30 = 0 u^{2} - 6 u + 5 u - 30 = 0 u (u - 6) + 5 (u - 6) = 0 (u - 6) (u + 5) = 0 u = 6, u = - 5$

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Divide $\frac{x^{2} - 4 x - 12}{x^{2} + 8 x + 12} \div \frac{x^{2} - 36}{3 x}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification

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Dividex2-4x-12x2+8x+12÷x2-363x

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Discrete Mathematics

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Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Divide $\frac{x^{2} - 4 x - 12}{x^{2} + 8 x + 12} \div \frac{x^{2} - 36}{3 x}$