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Chapter 7: Q. 7.11 (page 645)

Simplify2x2+5x-12x2-16路x2-8x+162x2-13x+15.

Short Answer

Expert verified

The simplest form of the given expression isx-4x-5.

Step by step solution

01

Step 1. Given information

The given expression is2x2+5x-12x2-16路x2-8x+162x2-13x+15

02

Step 2.Simplify

2x2+5x-12x2-16路x2-8x+162x2-13x+15=(2x-3)(x+4)(x-4)(x+4)路(x-4)(x-4)(2x-3)(x-5)Factorizenumeratoranddenominator=(2x-3)(x+4)(x-4)(x-4)(x-4)(x+4)(2x-3)(x-5)Mutiplynumeratoranddenominator=(x-4)(x-5)Removecommonfacrorsofnumeratoranddenominator

Hence, The simplified expression is(x-4)(x-5).

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