CPM Homework Help : PC Problem 8-96

Use your results from the previous problem to show that $\left(\sin x + \cos x\right)^{4} − \left(\sin x − \cos x\right)^{4} = 4 \sin\left(2x\right)$ .

Hint:

The answer to the previous problem was:
$8ab\left(a^{2} + b^{2}\right)$
Substitute $\sin x$ for ' $a$ ' and the $\cos x$ for ' $b$ '.

Answer:

Show all of your work to get the following answer: $4\sin\left(2x\right)$