Question

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

a^2 + 2 ab + b^2
a^2 - 2 ab + b^2
-a^2 + 2 ab + b^2
-a^2 - 2 ab - b^2

Answer 1

the answer is -a^2+2ab+b^2

Answer 2

-a^2 + 2 ab + b^2

Explanation:

To solve this, you need to distribute the letters into the parenthesis.

Then, you sum equal things, and you get the result.

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

So, the rigth answer is number three: -a^2 + 2 ab + b^2