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Chapter 7: Q. 28 (page 651)

Simplify the rational expressiona2-5z-3681-a2

Short Answer

Expert verified

Simplified form of rational expressiona2-5z-3681-a2 is-(a-4)(a-9),a鈮�9a2-5z-3681-a2is-(a+4)(a-9),a鈮�9.

Step by step solution

01

Step 1  . Given information

Given rational expression is a2-5z-3681-a2.

We have to simplify the given rational expression.

02

. Description about simplification of the rational expression

To simplify the given expression first we have to factor both numerator and denominator completely and find out the common factor. So we get a2-5z-3681-a2=(a+9)(a-4)(9-a)(9+a).We can see that factors are opposite to it and an expression opposite to its divides is -1.

03

. Simplification of the rational expression 

When we do the multiplication on the given rational expression, the simplified form will become

a2-5z-3681-a2=(a+9)(a-4)(9-a)(9+a)=(-1)(a+9)(a-4)(a+9)(a-9)here(a+9)isthecommonfactorssodivideoutweget=-(a-4)(a-9),a鈮�9

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