What is expand (10x^2+20x+45)/((x+4)(x^2+9)) ?

The solution to expand (10x^2+20x+45)/((x+4)(x^2+9)) is (10x^2+20x+45)/(x^3+9x+4x^2+36)

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expand (10x^2+20x+45)/((x+4)(x^2+9))

expand

\frac{10 x ^{2} + 20 x + 45}{( x + 4 ) ( x ^{2} + 9 )}

\frac{10 x ^{2} + 20 x + 45}{x ^{3} + 9 x + 4 x ^{2} + 36}

Solution steps

\frac{10 x ^{2} + 20 x + 45}{( x + 4 ) ( x ^{2} + 9 )}

Expand

(x + 4) (x^{2} + 9) : x^{3} + 9 x + 4 x^{2} + 36

= \frac{10 x ^{2} + 20 x + 45}{x ^{3} + 9 x + 4 x ^{2} + 36}

(0.5 - \frac{3}{2} i)^{4}

e^{x} (6 x - 3 x^{2})

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

\frac{x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2}

What is expand (10x^2+20x+45)/((x+4)(x^2+9)) ?
The solution to expand (10x^2+20x+45)/((x+4)(x^2+9)) is (10x^2+20x+45)/(x^3+9x+4x^2+36)