Simplify sin(x)^2-sin(x)^2

$\sin^{2} (x) - \sin^{2} (x)$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = \sin (x)$ and $b = \sin (x)$ .

$(\sin (x) + \sin (x)) (\sin (x) - \sin (x))$

Simplify by adding terms.

Add $\sin (x)$ and $\sin (x)$ .

$2 \sin (x) (\sin (x) - \sin (x))$

Subtract $\sin (x)$ from $\sin (x)$ .

$2 \sin (x) \cdot 0$

Multiply $2 \sin (x) \cdot 0$ .

Multiply $0$ by $2$ .

$0 \sin (x)$

Multiply $0$ by $\sin (x)$ .

$0$

Simplify sin(x)^2-sin(x)^2

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