What is expand cos^2(x)(1-cos^4(x)) ?

The solution to expand cos^2(x)(1-cos^4(x)) is cos^2(x)-cos^6(x)

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expand cos^2(x)(1-cos^4(x))

expand

cos^{2} (x) (1 - cos^{4} (x))

cos^{2} (x) - cos^{6} (x)

Solution steps

cos^{2} (x) (1 - cos^{4} (x))

Apply the distributive law:

a (b - c) = ab - a c

cos^{2} (x) (1 - cos^{4} (x)) = cos^{2} (x) \cdot 1 - cos^{2} (x) cos^{4} (x)

= cos^{2} (x) \cdot 1 - cos^{2} (x) cos^{4} (x)

Simplify

cos^{2} (x) \cdot 1 - cos^{2} (x) cos^{4} (x) : cos^{2} (x) - cos^{6} (x)

= cos^{2} (x) - cos^{6} (x)

\frac{1 + 4 x}{4 ( x + 1 )}

\frac{s + 1}{( s ^{2} + 1 ) ^{3}}

\frac{2}{z ^{2} ( z + 1 )}

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

(s^{2} + 1) (s^{2} + s + \frac{5}{4})

What is expand cos^2(x)(1-cos^4(x)) ?
The solution to expand cos^2(x)(1-cos^4(x)) is cos^2(x)-cos^6(x)