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

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Answer 1 · 2015-07-05T15:08:05

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

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

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

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

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