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

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

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factor 1-cos^4(x)

factor

1 - cos^{4} (x)

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

Solution steps

1 - cos^{4} (x)

1 = 1^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

2 x^{3} - 9 x^{2} + 12 x

2 cos^{2} (θ) - 1

\frac{45}{2}

ln (e^{a})

(2 x + 4 y) (2 x - 4 y)

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