What is expand (14x-7h)/(x^2(x+h)^2) ?

The solution to expand (14x-7h)/(x^2(x+h)^2) is (14x-7h)/(x^4+2x^3h+x^2h^2)

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expand (14x-7h)/(x^2(x+h)^2)

expand

\frac{14 x - 7 h}{x ^{2} ( x + h ) ^{2}}

\frac{14 x - 7 h}{x ^{4} + 2 x ^{3} h + x ^{2} h ^{2}}

Solution steps

\frac{14 x - 7 h}{x ^{2} ( x + h ) ^{2}}

(x + h)^{2} = x^{2} + 2 x h + h^{2}

= \frac{14 x - 7 h}{x ^{2} ( x ^{2} + 2 x h + h ^{2} )}

Expand

x^{2} (x^{2} + 2 x h + h^{2}) : x^{4} + 2 x^{3} h + x^{2} h^{2}

= \frac{14 x - 7 h}{x ^{4} + 2 x ^{3} h + x ^{2} h ^{2}}

(\frac{1 + 5}{2})^{3}

3 (\frac{3 e ^{- t} t ^{2}}{2} - 6 e^{- t} t + 3 e^{- t})

\frac{e ^{- x} - x ^{2} - x + 10}{( x - 1 ) ( x + 4 ) ( x - 2 )}

(x + sin (\frac{π \cdot x}{2})) \cdot (x + cos (\frac{π \cdot x}{2}))^{2}

\frac{10 ( 3 191 - 2 )}{49}

What is expand (14x-7h)/(x^2(x+h)^2) ?
The solution to expand (14x-7h)/(x^2(x+h)^2) is (14x-7h)/(x^4+2x^3h+x^2h^2)