What is expand (-x+7)/(x(x+7)(x-1)^2(x+1)) ?

The solution to expand (-x+7)/(x(x+7)(x-1)^2(x+1)) is (-x+7)/(x^5+6x^4-8x^3-6x^2+7x)

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expand (-x+7)/(x(x+7)(x-1)^2(x+1))

expand

\frac{- x + 7}{x ( x + 7 ) ( x - 1 ) ^{2} ( x + 1 )}

\frac{- x + 7}{x ^{5} + 6 x ^{4} - 8 x ^{3} - 6 x ^{2} + 7 x}

Solution steps

\frac{- x + 7}{x ( x + 7 ) ( x - 1 ) ^{2} ( x + 1 )}

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

= \frac{- x + 7}{x ( x + 7 ) ( x ^{2} - 2 x + 1 ) ( x + 1 )}

Expand

x (x + 7) (x^{2} - 2 x + 1) (x + 1) : x^{5} + 6 x^{4} - 8 x^{3} - 6 x^{2} + 7 x

= \frac{- x + 7}{x ^{5} + 6 x ^{4} - 8 x ^{3} - 6 x ^{2} + 7 x}

\frac{x}{Δ y ( y + Δ y ) ^{2}}

\frac{x ^{4} - ( m + 2 ) x ^{3} + m x ^{2} + x + m ^{2} + m}{x - m - 1}

10 (e^{\frac{x}{20}} + e^{- \frac{x}{20}})

3 9 - (3)^{2}

\frac{x + 1}{( x ^{2} + 1 ) ( x ^{2} + 9 )}

What is expand (-x+7)/(x(x+7)(x-1)^2(x+1)) ?
The solution to expand (-x+7)/(x(x+7)(x-1)^2(x+1)) is (-x+7)/(x^5+6x^4-8x^3-6x^2+7x)