What is expand ((3w+2)(w+2))/(3(w^2-3)) ?

The solution to expand ((3w+2)(w+2))/(3(w^2-3)) is (3w^2+8w+4)/(3w^2-9)

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expand ((3w+2)(w+2))/(3(w^2-3))

expand

\frac{( 3 w + 2 ) ( w + 2 )}{3 ( w ^{2} - 3 )}

\frac{3 w ^{2} + 8 w + 4}{3 w ^{2} - 9}

Solution steps

\frac{( 3 w + 2 ) ( w + 2 )}{3 ( w ^{2} - 3 )}

Expand

3 (w^{2} - 3) : 3 w^{2} - 9

= \frac{( 3 w + 2 ) ( w + 2 )}{3 w ^{2} - 9}

Expand

(3 w + 2) (w + 2) : 3 w^{2} + 8 w + 4

= \frac{3 w ^{2} + 8 w + 4}{3 w ^{2} - 9}

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

cos (x + 1) (1 + \frac{d y}{d x})

16 e^{4 x} (1 + e^{4 x})

\frac{( x ^{3} - 2 ) ^{9}}{x ^{18}}

(d - e)^{3}

What is expand ((3w+2)(w+2))/(3(w^2-3)) ?
The solution to expand ((3w+2)(w+2))/(3(w^2-3)) is (3w^2+8w+4)/(3w^2-9)