How do you factor $5 a^{2} + 10 a b - 15 b^{2}$ $5a^2 + 10ab - 15b^2$ ?

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How do you factor $5 a^{2} + 10 a b - 15 b^{2}$ $5a^2 + 10ab - 15b^2$ ?

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Answer 1 · 2015-05-27T18:32:20

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

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

Check: y = 5(a^2 + 3ab - ab - 5b) . OK

Answer 2 · 2015-05-27T18:32:37

To factor $5 a^{2} + 10 a b - 15 b^{2}$ $5a^2+10ab-15b^2$
first extract the obvious common constant factor
then look for factors of the simplified variable term

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

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

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How do you factor $5 a^{2} + 10 a b - 15 b^{2}$ $5a^2 + 10ab - 15b^2$ ?

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