展开 1/((x+5)^2(x-1))

解答

展开

\frac{1}{( x + 5 ) ^{2} ( x - 1 )}

\frac{1}{x ^{3} + 9 x ^{2} + 15 x - 25}

求解步骤

\frac{1}{( x + 5 ) ^{2} ( x - 1 )}

(x + 5)^{2} = x^{2} + 10 x + 25

= \frac{1}{( x ^{2} + 10 x + 25 ) ( x - 1 )}

乘开

(x^{2} + 10 x + 25) (x - 1) : x^{3} + 9 x^{2} + 15 x - 25

= \frac{1}{x ^{3} + 9 x ^{2} + 15 x - 25}

f (x) = \frac{8 x + 16}{( x - 1 ) ^{4}}

e x p an d \frac{16 b ^{2} - 128 b - 1304}{( b - 4 ) ^{2}}

e x p an d ln (y - 46.63 (e^{- k (x - o)}))

e x p an d \frac{x ^{4} + x ^{3} + x ^{2} - x}{( x + 1 ) ( x ^{2} + 1 )}

e x p an d \frac{6 s ^{2} - 13 s + 2}{s ( s ^{2} + 2 s + 5 )}