What is (-cos(x)+(cos^3(x))/3)^2 ?

The solution to (-cos(x)+(cos^3(x))/3)^2 is ((-3cos(x)+cos^3(x))^2)/9

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simplify (-cos(x)+(cos^3(x))/3)^2

simplify

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

\frac{( - 3 cos ( x ) + cos ^{3} ( x ) ) ^{2}}{9}

Solution steps

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

Simplify

- cos (x) + \frac{cos ^{3} ( x )}{3} : \frac{- 3 cos ( x ) + cos ^{3} ( x )}{3}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

3^{2} = 9

= \frac{( - 3 cos ( x ) + cos ^{3} ( x ) ) ^{2}}{9}

\frac{sec ^{2} ( \frac{π}{4} )}{2 tan ( \frac{π}{4} )}

x + 1 \cdot (x + 1)

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

(x - 3) (x + 1 - 5) (x + 1 + 5)

\frac{5}{x ^{3} - 2} (- 2, - \frac{1}{2})

What is (-cos(x)+(cos^3(x))/3)^2 ?
The solution to (-cos(x)+(cos^3(x))/3)^2 is ((-3cos(x)+cos^3(x))^2)/9