Question

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

Answer 1

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

Explanation:

We can solve this problem applying the distributive proprierty.

We also have to be careful with the negative signal.

So

`b(a+b) - a(a-b) = ba + b^(2) - (a^(2) - ab) = ba + b^(2) - a^(2) + ab = b^(2) + 2ab - a^(2)`

Important to note that
`ba = ab`. For example,
`2*3 = 3*2`

Answer 2

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

ab + b² - a² + ab

2ab + b² - a² is your answer

hope this helps