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Chapter 7: Q. 473 (page 901)

In the following exercises, factors completely:

3x2-75y2.

Short Answer

Expert verified

The factors for the expression is,3(x+5y)(x-5y).

Step by step solution

01

Step 1. Given Information.

The expression is,

3x2-75y2.

02

Step 2. Factor completely.

Taking 3common out,

3x2-75y2=3(x2-25y2)

Using a2-b2=(a+b)(a-b),

3(x2-25y2)=3[(x)2-(5y)2]

=3(x+5y)(x-5y).

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