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

1 Answer
Jul 5, 2015

=color(green)(b^2-a^2+2ab=b2a2+2ab

Explanation:

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

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

=ab +b^2-a^2+ab=ab+b2a2+ab
=color(green)(b^2-a^2+2ab=b2a2+2ab