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

The solution to expand 1/((1+3x)^5) is 1/(1+15x+90x^2+270x^3+405x^4+243x^5)

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expand 1/((1+3x)^5)

expand

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

\frac{1}{1 + 15 x + 90 x ^{2} + 270 x ^{3} + 405 x ^{4} + 243 x ^{5}}

Solution steps

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

(1 + 3 x)^{5} = 1 + 15 x + 90 x^{2} + 270 x^{3} + 405 x^{4} + 243 x^{5}

= \frac{1}{1 + 15 x + 90 x ^{2} + 270 x ^{3} + 405 x ^{4} + 243 x ^{5}}

\frac{( x - 6 ) ^{2}}{( 6 - 5 x )}

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

\frac{( e ^{5 x} - e ^{- 5 x} ) ^{2}}{4}

(x^{2})^{12}

r^{4} (9 - r^{2}) d x

What is expand 1/((1+3x)^5) ?
The solution to expand 1/((1+3x)^5) is 1/(1+15x+90x^2+270x^3+405x^4+243x^5)