How do you factor $2a^3- 2ab^2$ ?

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Answer 1 · 2018-07-09T23:45:30

$2a^3-2ab^2=color(blue)(2a(a+b)(a-b)$

Factor:

$2a^3-2ab^2$

The GCF is $2a$ . Factor out the GCF.

$2a(a^2-b^2)$

Factor $(a^2-b^2)$ using the formula for a difference of squares:

$a^2-b^2=(a+b)(a-b)$

$2a(a+b)(a-b)$

How do you factor 2a^3- 2ab^22a^3- 2ab^2?