### Home > PC > Chapter 8 > Lesson 8.2.2 > Problem 8-96

8-96.

Use your results from the previous problem to show that (sin *x* + cos *x*)^{4} − (sin *x* − cos *x*)^{4} = 4 sin(2*x*). Homework Help ✎

The answer to the previous problem was:

8*ab*(*a*^{2} + *b*^{2})

Substitute sin*x* for '*a*' and the cos*x* for '*b*'.

Show all of your work to get the following answer: 4sin(2*x*)