展开 (x^2+2)/((x+3)(x+2)^2)

解答

展开

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

\frac{x ^{2} + 2}{x ^{3} + 7 x ^{2} + 16 x + 12}

求解步骤

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

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

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

乘开

(x + 3) (x^{2} + 4 x + 4) : x^{3} + 7 x^{2} + 16 x + 12

= \frac{x ^{2} + 2}{x ^{3} + 7 x ^{2} + 16 x + 12}

e x p an d \frac{x ( x - 1 ) ( x - 2 ) ( x - 3 )}{24}

e x p an d lo g_{10} (2) (x + 2)

e x p an d \frac{4 + 3 y ^{2}}{y ( y + 2 )}

e x p an d \frac{e ^{z}}{( ( z - 1 ) ^{3} ( z - 3 ) )}

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