Simplify b(a + b) - a(a - b). a2 + 2ab + b2 a2 - 2ab + b2 -a2 + 2ab + b2 -a2 - 2ab - b2

The correct answer is:  [C]:  "  - a² + 2ab + b²  " .

Explanation:


b(a + b) - a(a - b) = 

ba  + b²  - a² + ab ; 

Combine the like terms: 

ba + ab = 2ab ;

Rewrite:

 "  - a² + 2ab + b²  " ;  which is:  Answer choice:  [C]:  "  - a² + 2ab + b²  " .

Ab+b^2-a^2+ab (using distributive property)
-a^2+2ab+b^2

The 3rd option is correct.