### Home > PC > Chapter 8 > Lesson 8.2.2 > Problem 8-95

8-95.

Expand and simplify: (*a* + *b*)^{4} − (*a − b*)^{4}. Homework Help ✎

Expand the first part twice with a negative sign between and substitute (−*b*) for *b* in the second part. Carefully distribute to simplify.

(*a*^{4} + 4*a*^{3}*b* + 6*a*^{2}*b*^{2} + 4*ab*^{3} + *b*^{4}) − (*a*^{4} + 4*a*^{3}(−*b*) + 6*a*^{2}(−*b*)^{2} + 4*a*(−*b*)^{3} + (−*b*)^{4})