How do you factor $2 a b^{4} - 4 a^{2} b^{3}$ $2ab^4 - 4a^2b^3$ ?

Question

1626 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-05T16:19:09

$2 a b^{4} - 4 a^{2} b^{3}$ $2ab^4-4a^2b^3$

Examining both terms we can see the common factors:
$2$ $2$ , $a$ $a$ , and $b^{3}$ $b^3$

So we can write
$2 a b^{4} - 4 a^{2} b^{3} = (2 a b^{3}) (b - 2 a)$ $2ab^4-4a^2b^3 = (2ab^3)(b-2a)$

How do you factor 2ab4−4a2b32ab^4 - 4a^2b^3?