Chapter 7: Q. 13 (page 651)

Simplify the rational expression $\frac{a^{2} - 4}{a^{2} + 6 y - 16}$

Short Answer

Expert verified

Simplified form of the rational expression $\frac{a^{2} - 16}{a^{2} + 6 y - 16} i s \frac{(a + 2)}{(a + 8)}; a \neq - 8 .$

Step by step solution

. Given information

Given rational expression is $\frac{a^{2} - 4}{a^{2} + 6 y - 16} .$

We have to simplify the given expression.

. Simplification of the rational expression

To simplify the given rational expression find out factors of both numerator and numerator separately and divide out the common factor. So the simplified form of $\frac{a^{2} - 4}{a^{2} + 6 y - 16} = \frac{(a + 2) (a - 2)}{(a - 2) (a + 8)} = \frac{(a + 2)}{(a + 8)}; a \neq - 8 \sin c e (a - 2) i s t h e c o m m o n f a c o r .$

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Simplify the rational expression $\frac{a^{2} - 4}{a^{2} + 6 y - 16}$

Short Answer

Step by step solution

. Given information

. Simplification of the rational expression

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Simplify the rational expressiona2-4a2+6y-16

Short Answer

Step by step solution

. Given information

. Simplification of the rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Logic and Functions

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Simplify the rational expression $\frac{a^{2} - 4}{a^{2} + 6 y - 16}$