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Chapter 7: Q. 7.8 (page 644)

Simplifyx2+x-21-x2.

Short Answer

Expert verified

The simplest form of the given expression is-(x+2)(x+1).

Step by step solution

01

Step 1. Given information

The given expression isx2+x-21-x2

02

Step 2. Simplify

x2+x-21-x2=(x-1)(x+2)(1-x)(1+x)Factorizenumeratoranddenominator=-(x-1)(x+2)(x-1)(x+1)Rewritetheexpression=-(x+2)(x+1)Removeallthecommonfactors

Hence,-(x+2)(x+1).

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