Question

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

Answer 1

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

Explanation:

`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`