Factor out of .

Apply the sine double–angle identity.

Multiply by .

Use the double–angle identity to transform to .

Apply the distributive property.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Expand sin(4x)