What is expand (5x)/((x+3)^4) ?

The solution to expand (5x)/((x+3)^4) is (5x)/(x^4+12x^3+54x^2+108x+81)

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expand (5x)/((x+3)^4)

expand

\frac{5 x}{( x + 3 ) ^{4}}

\frac{5 x}{x ^{4} + 12 x ^{3} + 54 x ^{2} + 108 x + 81}

Solution steps

\frac{5 x}{( x + 3 ) ^{4}}

(x + 3)^{4} = x^{4} + 12 x^{3} + 54 x^{2} + 108 x + 81

= \frac{5 x}{x ^{4} + 12 x ^{3} + 54 x ^{2} + 108 x + 81}

2^{2} - 2

\frac{12 ( 1 - cos ( x ) )}{x ^{2}}

u \cdot (1 - e^{- x})

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

- 2 + (- \frac{4}{3})

What is expand (5x)/((x+3)^4) ?
The solution to expand (5x)/((x+3)^4) is (5x)/(x^4+12x^3+54x^2+108x+81)