Question

How do you simplify Sin^2xcos^2x-cos^2x ? -Thanks

Answer 1

It simplifies to `-cos^4x`

Explanation:

`sin^2xcos^2x-cos^2x`

`cos^2x(sin^2x - 1)`

We know that `sin^2x + cos^2x = 1`, so
`sin^2x -1 = -cos^2x`
Therefore:

`cos^2x(-cos^2x)`

`-cos^4x`