Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
$x\left(1-\sin\left(x\right)^2\right)$
Why is 1 - sin(x)^2 = cos(x)^2 ?
2
Multiply the single term $x$ by each term of the polynomial $\left(1-\sin\left(x\right)^2\right)$
$x-x\sin\left(x\right)^2$
Final answer to the problem
$x-x\sin\left(x\right)^2$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.