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Chapter 7: Q 7.83 : (page 853)

Factorize the following polynomial :4x2+12x+9

Short Answer

Expert verified

The factors of the given polynomial is :(2x+3)(2x+3)

Step by step solution

01

Step 1. Given Information

Given expression is :4x2+12x+9

02

Step 2. Factorization by arranging to perfect square pattern

4x2+12x+9=(2x)2+2(2x)(3)+(3)2=(2x+3)2=(2x+3)(2x+3)

03

Step 3. Check

Now,

(2x+3)(2x+3)=(2x+3)2=(2x)2+2(2x)(3)+(3)2=4x2+12x+9

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