What is expand (x^2+7)/((x-1)(x+5)^3) ?

The solution to expand (x^2+7)/((x-1)(x+5)^3) is (x^2+7)/(x^4+14x^3+60x^2+50x-125)

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expand (x^2+7)/((x-1)(x+5)^3)

expand

\frac{x ^{2} + 7}{( x - 1 ) ( x + 5 ) ^{3}}

\frac{x ^{2} + 7}{x ^{4} + 14 x ^{3} + 60 x ^{2} + 50 x - 125}

Solution steps

\frac{x ^{2} + 7}{( x - 1 ) ( x + 5 ) ^{3}}

(x + 5)^{3} = x^{3} + 15 x^{2} + 75 x + 125

= \frac{x ^{2} + 7}{( x - 1 ) ( x ^{3} + 15 x ^{2} + 75 x + 125 )}

Expand

(x - 1) (x^{3} + 15 x^{2} + 75 x + 125) : x^{4} + 14 x^{3} + 60 x^{2} + 50 x - 125

= \frac{x ^{2} + 7}{x ^{4} + 14 x ^{3} + 60 x ^{2} + 50 x - 125}

d y (y = 5 x^{2} - 3 x + \frac{2}{x} - 1)

m u lt i pl y (5 x - 4 x)

(9 x^{2} - 5 x) e^{x}

(e^{5 x} + 4)^{2}

ln (1 + a (e^{x} - 1))

What is expand (x^2+7)/((x-1)(x+5)^3) ?
The solution to expand (x^2+7)/((x-1)(x+5)^3) is (x^2+7)/(x^4+14x^3+60x^2+50x-125)