What is expand (70)/((x+1)(x^2+9)^2) ?

The solution to expand (70)/((x+1)(x^2+9)^2) is (70)/(x^5+18x^3+81x+x^4+18x^2+81)

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expand (70)/((x+1)(x^2+9)^2)

expand

\frac{70}{( x + 1 ) ( x ^{2} + 9 ) ^{2}}

\frac{70}{x ^{5} + 18 x ^{3} + 81 x + x ^{4} + 18 x ^{2} + 81}

Solution steps

\frac{70}{( x + 1 ) ( x ^{2} + 9 ) ^{2}}

(x^{2} + 9)^{2} = x^{4} + 18 x^{2} + 81

= \frac{70}{( x + 1 ) ( x ^{4} + 18 x ^{2} + 81 )}

Expand

(x + 1) (x^{4} + 18 x^{2} + 81) : x^{5} + 18 x^{3} + 81 x + x^{4} + 18 x^{2} + 81

= \frac{70}{x ^{5} + 18 x ^{3} + 81 x + x ^{4} + 18 x ^{2} + 81}

\frac{1}{( s + 1 ) ( s ^{2} - 2 s + 4 )}

(x - 32) (x + 32)

(x - x^{2})^{2}

(2 t, s + t cos^{2} (s) + s^{2} t^{4}) (t cos (s))

(x + \frac{5 - 1}{2}) (x + \frac{- 1 - 5}{2})

What is expand (70)/((x+1)(x^2+9)^2) ?
The solution to expand (70)/((x+1)(x^2+9)^2) is (70)/(x^5+18x^3+81x+x^4+18x^2+81)