What is factor 1-sin^4(x) ?

The solution to factor 1-sin^4(x) is (1+sin^2(x))(1+sin(x))(1-sin(x))

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factor 1-sin^4(x)

factor

1 - sin^{4} (x)

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

Solution steps

1 - sin^{4} (x)

1 = 1^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

\frac{3 ^{0}}{3 ^{- 6}}

(x + 9 - 3) (x + 9 + 3)

5 x^{3} - 10 x y

3 72 y^{3} - 2 y

(- 4) + 4

What is factor 1-sin^4(x) ?
The solution to factor 1-sin^4(x) is (1+sin^2(x))(1+sin(x))(1-sin(x))