What is expand (10x^2+10)/((x+1)^4) ?

The solution to expand (10x^2+10)/((x+1)^4) is (10x^2+10)/(x^4+4x^3+6x^2+4x+1)

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expand (10x^2+10)/((x+1)^4)

expand

\frac{10 x ^{2} + 10}{( x + 1 ) ^{4}}

\frac{10 x ^{2} + 10}{x ^{4} + 4 x ^{3} + 6 x ^{2} + 4 x + 1}

Solution steps

\frac{10 x ^{2} + 10}{( x + 1 ) ^{4}}

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

= \frac{10 x ^{2} + 10}{x ^{4} + 4 x ^{3} + 6 x ^{2} + 4 x + 1}

\frac{x ( 128 x ^{2} - 735 x - 264 )}{64 ( x - 4 ) ^{2}}

\frac{8 ( s + 3 )}{( s + 8 ) ( s ^{2} + 24 s + 135 )}

\frac{11 x ^{2} - 2 x + 2}{x ( 3 x ^{2} + 1 )}

\frac{16 π ( 5 5 - 8 )}{3}

so l v e (4 \cdot cos^{4} (x) - 1 = 0)

What is expand (10x^2+10)/((x+1)^4) ?
The solution to expand (10x^2+10)/((x+1)^4) is (10x^2+10)/(x^4+4x^3+6x^2+4x+1)