How do you simplify $\frac{5 a^{2} - 10 a b}{2 b - a}$ $( 5a^2 - 10 ab)/(2b - a)$ ?

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Answer 1 · 2015-06-08T17:49:38

$\frac{5 a^{2} - 10 a b}{2 b - a}$ $(color(green)( 5a^2 - 10 ab))/(2b - a)$

$5 a^{2} - 10 a b = 5 a (a - 2 b)$ $color(green)( 5a^2 - 10 ab) = 5a(a-2b)$

Rewriting the expression as:
$\frac{5 a (a - 2 b)}{2 b - a}$ $(5a(a-2b)) /( 2b-a$

$=(-5acancel((2b-a))) /cancel(2b-a$

$=color(green)( -5a$

How do you simplify ( 5a^2 - 10 ab)/(2b - a)5a2−10ab2b−a( 5a^2 - 10 ab)/(2b - a)?