CPM Homework Help : INT3 Problem 2-106

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2-106.

Factor each expression completely.

$25x^2-1$
Hint (a):
This is a difference of two squares.
More Help (a):
If you don't know the pattern for difference of two squares yet, use a generic rectangle to help you.
Answer (a):
$(5x+1)(5x−1)$

$5x^3-125x$
Hint (b):
$5x$ is a common factor. Factor it out. What is left is a difference of two squares, as in part (a). Factor again.
Answer (b):
$5x(x+5)(x−5)$

$x^2+x-72$
Hint (c):
You can use an area model.

$x^3-3x^2-18x$
Hint (d):
The common factor is $x$ .
More Help (d):
After you factor out $x$ you have to factor a second time.

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