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Chapter 6: Q. 6.74 (page 608)

Factor completely: 9x2-24xy+16y2

Short Answer

Expert verified

The required factors are(3x-4y)2

Step by step solution

01

Step 1. Given Information

The given expression is9x2-24xy+16y2

02

Step 2. Calculation

We will factor the expression by using the property.

9x2-24xy+16y2=(3x)2-2脳3x脳4y+(4y)2=(3x-4y)2

03

Step 3. Check

We will verify the obtained factors by multiplying them.

(3x-4y)2=(3x)2-2脳3x脳4y+(4y)2=9x2-24xy+16y2

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