What is factor sin^4(x)-sin^2(cos^2(x)) ?

The solution to factor sin^4(x)-sin^2(cos^2(x)) is (sin^2(x)+sin(cos^2(x)))(sin^2(x)-sin(cos^2(x)))

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factor sin^4(x)-sin^2(cos^2(x))

factor

sin^{4} (x) - sin^{2} (cos^{2} (x))

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

Solution steps

sin^{4} (x) - sin^{2} (cos^{2} (x))

Simplify

sin^{4} (x) : (sin^{2} (x))^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

(\frac{( 3 a ^{2} \cdot b )}{( 12 a \cdot b ^{4} )})^{- 2}

15 x^{3} - 10 x^{2} + 5 x y

(a^{5})^{7}

- 9 x^{3} - 4

2 a^{3} + 16 b^{3} - 3 a - 6 b

What is factor sin^4(x)-sin^2(cos^2(x)) ?
The solution to factor sin^4(x)-sin^2(cos^2(x)) is (sin^2(x)+sin(cos^2(x)))(sin^2(x)-sin(cos^2(x)))