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

The solution to expand 3/((x+2)^2(x-3)^2) is 3/(x^4-2x^3-11x^2+12x+36)

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

expand

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

\frac{3}{x ^{4} - 2 x ^{3} - 11 x ^{2} + 12 x + 36}

Solution steps

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

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

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

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{3}{( x ^{2} + 4 x + 4 ) ( x ^{2} - 6 x + 9 )}

Expand

(x^{2} + 4 x + 4) (x^{2} - 6 x + 9) : x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36

= \frac{3}{x ^{4} - 2 x ^{3} - 11 x ^{2} + 12 x + 36}

(4 x) \cdot (x^{2} + 2 x δ + δ^{2} - 4)

(2 x + y + 3) \cdot ln (2 x + y + 3)

- \frac{1}{s ( s ^{2} + 9 )}

- \frac{1}{2 ( e ^{y} + 1 ) ^{2}}

\frac{( h + 1 ) ^{2} ( h + 2 ) ^{2}}{4}

What is expand 3/((x+2)^2(x-3)^2) ?
The solution to expand 3/((x+2)^2(x-3)^2) is 3/(x^4-2x^3-11x^2+12x+36)