What is expand (9x^2+6x+12)/((x+4)(x^2+6)) ?

The solution to expand (9x^2+6x+12)/((x+4)(x^2+6)) is (9x^2+6x+12)/(x^3+6x+4x^2+24)

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expand (9x^2+6x+12)/((x+4)(x^2+6))

expand

\frac{9 x ^{2} + 6 x + 12}{( x + 4 ) ( x ^{2} + 6 )}

\frac{9 x ^{2} + 6 x + 12}{x ^{3} + 6 x + 4 x ^{2} + 24}

Solution steps

\frac{9 x ^{2} + 6 x + 12}{( x + 4 ) ( x ^{2} + 6 )}

Expand

(x + 4) (x^{2} + 6) : x^{3} + 6 x + 4 x^{2} + 24

= \frac{9 x ^{2} + 6 x + 12}{x ^{3} + 6 x + 4 x ^{2} + 24}

\frac{x ( x ^{2} - y ^{2} ) + 2 x y}{x ^{2} + y ^{2}}

x (y = a x - b x^{3})

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

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

(x^{4} - 2 x^{2}) d x

What is expand (9x^2+6x+12)/((x+4)(x^2+6)) ?
The solution to expand (9x^2+6x+12)/((x+4)(x^2+6)) is (9x^2+6x+12)/(x^3+6x+4x^2+24)