展开 ((x^2+x+1))/((x+1)^2(x+2))

解答

展开

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

\frac{x ^{2} + x + 1}{x ^{3} + 4 x ^{2} + 5 x + 2}

求解步骤

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

(x + 1)^{2} = x^{2} + 2 x + 1

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

乘开

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

= \frac{x ^{2} + x + 1}{x ^{3} + 4 x ^{2} + 5 x + 2}

e x p an d \frac{z ^{2}}{( z + 6 ) ( z + 9 )}

e x p an d A (1, - 2) B (5, - 5)

e x p an d \frac{2 ( - 1 ) ^{k} + 2 \cdot 3 ^{1 + k} + 3 ( - 1 ) ^{k - 1} + 1}{2}

e x p an d \frac{( - 1 ) ^{n} n ( n - 1 ) x ^{n - 2}}{2 \cdot 5 ^{n + 1}}

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