   Chapter 4.2, Problem 53PS

Chapter
Section
Textbook Problem

Give a step-by step description of how to do the following multiplication problem. x 2 + 5 x + 6 x 2 − 2 x − 8 ⋅ x 2 − 16 16 − x 2

To determine

To Give:

The step-by-step description for the given multiplication problem.

Explanation

The given multiplication problem is x2+5x+6x22x8x21616x2.

Factorised each term by using middle term splitting and formula [a2b2=(ab)(a+b)].

x2+5x+6x22x8x21616x2=x2+3x+2x+6x24x+2x8x2(4)2(4)2x2=x(x+3)+2(x+3)x(x4)+2(x4)(x4)(x+4)(4x)(4+x)=(x+2)(x+3)(x+2)(x4)(x4)(x+4)(4x)(4+x)

Cancel the same terms in numerator to denominator

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