Question

simplify (sin theta - cos theta) - (sin theta + cos theta)^2 @bmk614

Answer 1

Distribute the exponent.
You should get.
\[[\sin \theta-\cos \theta]-[\sin^2 \theta+2\sin \theta \cos \theta+\cos^2 \theta]\]

Answer 2

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Answer 3

Given sin^2+cos^2=1, You can replace that with 1.
You should get
\[\sin \theta-\cos \theta-(1+2\sin \theta \cos \theta)\]