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Chapter 8: Q. 8.23 (page 914)

Simplify:2x2-12x+183x2-27

Short Answer

Expert verified

The required answer is2(x-3)3(x+3)

Step by step solution

01

Step 1. Given Information 

The given expression is2x2-12x+183x2-27

02

Step 2. Calculation  

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

2x2-12x+183x2-27=2x2-6x-6x+183(x2-9)=2x(x-3)-6(x-3)3(x-3)(x+3)=(2x-6)(x-3)3(x-3)(x+3)=2(x-3)(x-3)3(x-3)(x+3)=2(x-3)3(x+3)

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