Hi. Can someone help me with this?

Question

Simplify:
(sin^2x)(cos^2x)+(sin^4x)

The answer is sin^2x, but I have no idea how to get there!

Thanks!

Answer 1

cos^2 x = 1 - sin^2 x
so
sin^2 x [ 1 - sin^2 x ] + sin^4 x

I think you can see what happens now :)

Answer 2

Or....

take out a common factor

sin^2 x(cos^2 x + sin^2 x)
= (sin^2 x)(1) and there it is.

Answer 3

thanks