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Chapter 7: Q. 7.7 (page 644)

Simplifyx2-4x-525-x2

Short Answer

Expert verified

The simplest form of the given expression is-(x+1)(x+5).

Step by step solution

01

Step 1. Given information

The given rational expression isx2-4x-525-x2

02

Step 2. Simplify

x2-4x-525-x2=(x-5)(x+1)(5-x)(5+x)Factorizenumeratoranddenominator=-(x-5)(x+1)(x-5)(x+5)Rewritetheexpression=-(x+1)(x+5)Removethecommonfactorsofnumeratoranddenominator

Hence, the simplified expression is-(x+1)(x+5)

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