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Chapter 6: Q. 6.82 (page 610)

Factor completely:16x2+24xy-4x-6y

Short Answer

Expert verified

The required factors are2(4x-1)(2x+3y)

Step by step solution

01

Step 1. Given Information  

The given expression is16x2+24xy-4x-6y

02

Step 2. Calculation 

We will factor the expression by taking the common factor outside the paranthesis.

16x2+24xy-4x-6y=2[8x2+12xy-2x-3y]=2[4x(2x+3y)-1(2x+3y)]=2(4x-1)(2x+3y)

03

Step 3. Check

We will verify by multiplying the factors.

2(4x-1)(2x+3y)=2[4x(2x+3y)-1(2x+3y)]=2[8x2+12xy-2x-3y]=16x2+24xy-4x-6y

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