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Chapter 7: Q 7.91 : (page 857)

Factorize the following polynomial :8x2y-24xy+18y

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information

Given expression is :8x2y-24xy+18y

02

Step 2. Factorization

8x2y-24xy+18y=2y(4x2-12xy+9)=2y{(2x)2-2(4x)(3)+(3)2}=2y(2x-3)2=2y(2x-3)(2x-3)

03

Step 3. Check

2y(2x-3)(2x-3)=2y(4x2-6x-6x+9)=8x2y-24xy+18y

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