What is factor tan^2(x^2)-sin^2(2x) ?

The solution to factor tan^2(x^2)-sin^2(2x) is (tan(x^2)+sin(2x))(tan(x^2)-sin(2x))

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factor tan^2(x^2)-sin^2(2x)

factor

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

(tan (x^{2}) + sin (2 x)) (tan (x^{2}) - sin (2 x))

Solution steps

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

tan^{2} (x^{2}) - sin^{2} (2 x) = (tan (x^{2}) + sin (2 x)) (tan (x^{2}) - sin (2 x))

= (tan (x^{2}) + sin (2 x)) (tan (x^{2}) - sin (2 x))

(\frac{2}{3} \cdot m + \frac{3}{2} \cdot n)^{2}

15 x^{2} - 12 y^{2}

100 x^{2} - (x^{2} + 25)^{2}

(\frac{4 x}{5 - 2})^{3}

\frac{251}{2} \cdot \frac{84}{3}

What is factor tan^2(x^2)-sin^2(2x) ?
The solution to factor tan^2(x^2)-sin^2(2x) is (tan(x^2)+sin(2x))(tan(x^2)-sin(2x))