What is expand (derivative of x^3+3)/((x+5)^2) ?

The solution to expand (derivative of x^3+3)/((x+5)^2) is (derivative of x^3+3)/(x^2+10x+25)

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expand (derivative of x^3+3)/((x+5)^2)

expand

\frac{\frac{d}{d x} ( x ^{3} + 3 )}{( x + 5 ) ^{2}}

\frac{\frac{d}{d x} ( x ^{3} + 3 )}{x ^{2} + 10 x + 25}

Solution steps

\frac{\frac{d}{d x} ( x ^{3} + 3 )}{( x + 5 ) ^{2}}

(x + 5)^{2} = x^{2} + 10 x + 25

= \frac{\frac{d}{d x} ( x ^{3} + 3 )}{x ^{2} + 10 x + 25}

- 2 - 4 (- 2 b x + c = - 6 x)

e^{7 x} (7 - 9 e^{3 x})

\frac{d x}{( x ^{2} + a ^{2} ) ^{2}}

e^{x + y + z} (e^{z} - e^{x + y})

ln (2) \cdot 2^{2 (- 4 x^{3} - 5 x^{2}) + 1} (- 12 x^{2} - 10 x)

What is expand (derivative of x^3+3)/((x+5)^2) ?
The solution to expand (derivative of x^3+3)/((x+5)^2) is (derivative of x^3+3)/(x^2+10x+25)