展开 (2x+3)/((x+2)^2(x+1))

解答

展开

\frac{2 x + 3}{( x + 2 ) ^{2} ( x + 1 )}

\frac{2 x + 3}{x ^{3} + 5 x ^{2} + 8 x + 4}

求解步骤

\frac{2 x + 3}{( x + 2 ) ^{2} ( x + 1 )}

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

= \frac{2 x + 3}{( x ^{2} + 4 x + 4 ) ( x + 1 )}

乘开

(x^{2} + 4 x + 4) (x + 1) : x^{3} + 5 x^{2} + 8 x + 4

= \frac{2 x + 3}{x ^{3} + 5 x ^{2} + 8 x + 4}

e x p an d - 8 - 3 (w + 13 = 4 w + 11) - 7 w

e x p an d 3 (2 s = \frac{1}{3} a - 2 b)

e x p an d 2 x y d x + (y^{2} - 3 x^{2}) d y

e x p an d (210 - e^{2}) \cdot 100

e x p an d \frac{1}{( x ^{6} - 4 ) ^{2}}