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)#