Solve sin^2(2x) cos^2(2x)

Evaluate

sin^{2} (2 x) cos^{2} (2 x)

Multiply the terms

(sin (2 x) cos (2 x))^{2}

Transform the expression

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(2 cos (x) sin (x) (cos^{2} (x) - sin^{2} (x)))^{2}

Transform the expression

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(2 cos (x) sin (x) (1 - 2 sin^{2} (x)))^{2}

Transform the expression

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(2 cos (x) sin (x) (- 1 + 2 cos^{2} (x)))^{2}

Transform the expression

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(2 cos (x) sin (x) cos (2 x))^{2}

Rewrite the expression

(\frac{sin ( 4 x )}{2})^{2}

Solution

\frac{sin ^{2} ( 4 x )}{4}

Simplify the expression