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How do you factor #24a^2 - 150b^2#?

1 Answer

Nov 15, 2015

#24a^2-150b^2=6(2a+5b)(2a-5b)#

Explanation:

#24a^2-150b^2#

Factor out the GCF #6#.

#6(4a^2-25b^2)#

#(4a^2-25b^2)# fits the difference of squares, #a^2-b^2=(a+b)(a-b)#, where #a=2a and b=5b#.

#6((2a)^2-(5b)^2)=6(2a+5b)(2a-5b)#

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