How do you factor $15a^3 - 6a^2b + 25ab^2 - 10b^3$ ?

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Answer 1 · 2016-05-10T22:44:22

$15a^3-6a^2b+25ab^2-10b^3=(3a^2+5b^2)(5a-2b)$

Factor by grouping:

$15a^3-6a^2b+25ab^2-10b^3$

$=(15a^3-6a^2b)+(25ab^2-10b^3)$

$=3a^2(5a-2b)+5b^2(5a-2b)$

$=(3a^2+5b^2)(5a-2b)$

How do you factor 15a^3 - 6a^2b + 25ab^2 - 10b^315a^3 - 6a^2b + 25ab^2 - 10b^3?