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

The solution to (-xcos(2x)+x)/(x^3) is (2sin^2(x))/(x^2)

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

simplify

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

\frac{2 sin ^{2} ( x )}{x ^{2}}

Solution steps

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

Factor out common term

x : x (- cos (2 x) + 1)

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x x^{2}

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

Cancel the common factor:

x

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

Simplify

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

= \frac{2 sin ^{2} ( x )}{x ^{2}}

(2^{- 2} x^{- 3} y^{- 4})^{- 1}

\frac{( x + 3 ) ^{36} - x ^{36}}{2 x + 3}

(a + b) (a - b) + 3 a (a + b) \cdot (a - b)^{2}

6 x^{- 5} w^{0}

lo g_{4} (x + 3) + lo g_{4} (x - 3) - 2

What is (-xcos(2x)+x)/(x^3) ?
The solution to (-xcos(2x)+x)/(x^3) is (2sin^2(x))/(x^2)