Question

Simplify b(a+b)-a(a- b)

Answer 1

b(a+b) - a(a-b)
= ba + b² - a² + ab
= 2ab + b² - a²
= -a² + 2ab + b²

Answer 2

b(a+b)-a(a-b)
ab+b^2-a(a-b)
ab+b^2-a^2+ab
b^2-a^2+2ab

Rearrange into standard form

Final answer: -a^2+2ab+b^2