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Chapter 8: Q. 8.22 (page 913)

Simplify: 4x2-16x8x2-16x-64

Short Answer

Expert verified

The required answer isx2(x+2)

Step by step solution

01

Step 1. Given Information 

The given expression is4x2-16x8x2-16x-64

02

Step 2. Calculation  

Factor the numerator and denominator and then remove the common factors.

4x2-16x8x2-16x-64=4x(x-4)8x2-32x+16x-64=4x(x-4)8x(x-4)+16(x-4)=4x(x-4)(8x+16)(x-4)=4x(x-4)8(x+2)(x-4)=x2(x+2)

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