What is factor cos^2(a)-sin^2(b) ?

The solution to factor cos^2(a)-sin^2(b) is (cos(a)+sin(b))(cos(a)-sin(b))

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factor cos^2(a)-sin^2(b)

factor

cos^{2} (a) - sin^{2} (b)

(cos (a) + sin (b)) (cos (a) - sin (b))

Solution steps

cos^{2} (a) - sin^{2} (b)

Apply Difference of Two Squares Formula:

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

cos^{2} (a) - sin^{2} (b) = (cos (a) + sin (b)) (cos (a) - sin (b))

= (cos (a) + sin (b)) (cos (a) - sin (b))

(\frac{2 x - 1}{x})^{2}

x^{3} \cdot y^{3} + 1

(2 a^{3})^{2}

(x^{3} - x + 1) (x^{2} - 1) (2 x - 1)

125 x^{3} - 343 y^{3}

What is factor cos^2(a)-sin^2(b) ?
The solution to factor cos^2(a)-sin^2(b) is (cos(a)+sin(b))(cos(a)-sin(b))