What is expand (4x^3+20x^2+32x+13)/(x^2(x^2+6x+13)) ?

The solution to expand (4x^3+20x^2+32x+13)/(x^2(x^2+6x+13)) is (4x^3+20x^2+32x+13)/(x^4+6x^3+13x^2)

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expand (4x^3+20x^2+32x+13)/(x^2(x^2+6x+13))

expand

\frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{2} ( x ^{2} + 6 x + 13 )}

\frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{4} + 6 x ^{3} + 13 x ^{2}}

Solution steps

\frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{2} ( x ^{2} + 6 x + 13 )}

Expand

x^{2} (x^{2} + 6 x + 13) : x^{4} + 6 x^{3} + 13 x^{2}

= \frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{4} + 6 x ^{3} + 13 x ^{2}}

\frac{( - \frac{6}{5} x ^{3} y ^{2} )}{( \frac{3}{5} x ^{2} y ^{2} )}

e^{t} (H (t) - H (t - 3)) + e^{t - 3} H (t - 3)

(1 + \frac{x}{2})^{7}

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

(3 - 3 i)^{5}

What is expand (4x^3+20x^2+32x+13)/(x^2(x^2+6x+13)) ?
The solution to expand (4x^3+20x^2+32x+13)/(x^2(x^2+6x+13)) is (4x^3+20x^2+32x+13)/(x^4+6x^3+13x^2)