Use power-reducing identities to write the given trig expression

Question

Use power-reducing identities to write the given trigonometric expression in terms of first power of cosine function.

 

answer: sin⁴x cos²x=____ /____(1-cos2x-___+cos2x___)

 

"___" meaning fill in the blank.

Answer 1

sin⁴x cos²x

sin²x sin²x cos²x

[(1 - cos2u)/2]²[(1 + cos2u)/2]

 

Can you continue?