How do you simplify $b(a + b) - a(a - b)$ ?

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Answer 1 · 2015-07-05T15:08:05

$=color(green)(b^2-a^2+2ab$

$color(blue)(b)(a+b)−color(green)(a)(a−b)$

$=color(blue)(b) . (a) +color(blue)(b) .(b)−color(green)(a) . (a)−color(green)(a) .(-b)$

$=ab +b^2-a^2+ab$
$=color(green)(b^2-a^2+2ab$

How do you simplify b(a + b) - a(a - b)b(a + b) - a(a - b)?