What is expand (3x^2+5)/(x^2(x^2+x+1)^2) ?

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

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expand (3x^2+5)/(x^2(x^2+x+1)^2)

expand

\frac{3 x ^{2} + 5}{x ^{2} ( x ^{2} + x + 1 ) ^{2}}

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

Solution steps

\frac{3 x ^{2} + 5}{x ^{2} ( x ^{2} + x + 1 ) ^{2}}

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

= \frac{3 x ^{2} + 5}{x ^{2} ( x ^{4} + 2 x ^{3} + 3 x ^{2} + 2 x + 1 )}

Expand

x^{2} (x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 1) : x^{6} + 2 x^{5} + 3 x^{4} + 2 x^{3} + x^{2}

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

x^{\frac{2}{3}} (x - 2)^{2}

(1 - x) e^{x} - 1

(3 - 4 y i)^{2}

- 4 (2 x + 5 - 3 x = 35)

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