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Exercise

$f\left(x\right)=\:sen\:x\:cos\:x\:-\:x^2$

Step-by-step Solution

1

Simplify $\sin\left(x\right)\cos\left(x\right)$ using the trigonometric identity: $\sin(2x)=2\sin(x)\cos(x)$

$f\left(x\right)=\frac{\sin\left(2x\right)}{2}-x^2$

Final answer to the exercise

$f\left(x\right)=\frac{\sin\left(2x\right)}{2}-x^2$

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Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

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