展开 3/((x+2)^2(x-3)^2)

解答

展开

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

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

求解步骤

\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 )}

乘开

(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}

e x p an d (4 x) \cdot (x^{2} + 2 x δ + δ^{2} - 4)

e x p an d (2 x + y + 3) \cdot ln (2 x + y + 3)

e x p an d - \frac{1}{s ( s ^{2} + 9 )}

e x p an d - \frac{1}{2 ( e ^{y} + 1 ) ^{2}}

e x p an d \frac{( h + 1 ) ^{2} ( h + 2 ) ^{2}}{4}