What is expand 1/((x+1)^6) ?

The solution to expand 1/((x+1)^6) is 1/(x^6+6x^5+15x^4+20x^3+15x^2+6x+1)

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expand 1/((x+1)^6)

expand

\frac{1}{( x + 1 ) ^{6}}

\frac{1}{x ^{6} + 6 x ^{5} + 15 x ^{4} + 20 x ^{3} + 15 x ^{2} + 6 x + 1}

Solution steps

\frac{1}{( x + 1 ) ^{6}}

(x + 1)^{6} = x^{6} + 6 x^{5} + 15 x^{4} + 20 x^{3} + 15 x^{2} + 6 x + 1

= \frac{1}{x ^{6} + 6 x ^{5} + 15 x ^{4} + 20 x ^{3} + 15 x ^{2} + 6 x + 1}

\frac{2 ( 15 - 5 )}{5}

d^{5} x - 1 l

2 a^{2} + 3^{2}

x ((n - 1) m)

- y (1 - x^{2}) d y

What is expand 1/((x+1)^6) ?
The solution to expand 1/((x+1)^6) is 1/(x^6+6x^5+15x^4+20x^3+15x^2+6x+1)