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

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

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Answer 1 · 2016-05-10T22:44:22

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

Explanation:

Factor by grouping:

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

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

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

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

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

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How do you factor 15a^3 - 6a^2b + 25ab^2 - 10b^315a3−6a2b+25ab2−10b315a^3 - 6a^2b + 25ab^2 - 10b^3?

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