How do you simplify $(sin x + cos x)^2 + (sin x – cos x )^2$ ?

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Answer 1 · 2016-04-17T00:57:29

See below

$=sin^2x+2sinxcosx+cos^2x+sin^2x-2sinxcosx+cos^2x)$

$=2sin^2x+2cos^2x$

$=2(sin^2x+cos^2x)$

$=2 * 1$

$=2$

How do you simplify (sin x + cos x)^2 + (sin x – cos x )^2(sin x + cos x)^2 + (sin x – cos x )^2?