展开 (3x^2+4x-5)^5

解答

展开

(3 x^{2} + 4 x - 5)^{5}

243 x^{10} + 1620 x^{9} + 2295 x^{8} - 5040 x^{7} - 11010 x^{6} + 8824 x^{5} + 18350 x^{4} - 14000 x^{3} - 10625 x^{2} + 12500 x - 3125

求解步骤

(3 x^{2} + 4 x - 5)^{5}

(3 x^{2} + 4 x - 5)^{5} = (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5)

= (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5)

乘开

(3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) (3 x^{2} + 4 x - 5) : 243 x^{10} + 1620 x^{9} + 2295 x^{8} - 5040 x^{7} - 11010 x^{6} + 8824 x^{5} + 18350 x^{4} - 14000 x^{3} - 10625 x^{2} + 12500 x - 3125

= 243 x^{10} + 1620 x^{9} + 2295 x^{8} - 5040 x^{7} - 11010 x^{6} + 8824 x^{5} + 18350 x^{4} - 14000 x^{3} - 10625 x^{2} + 12500 x - 3125

e x p an d \frac{( k + 1 ) ( k + 2 ) ( 2 k + 9 )}{6}

e x p an d lo g_{4} (3 x^{2} y^{4})

e x p an d - ln 1 + cos^{2} (7.5)

e x p an d \frac{8 x}{( x + 2 ) ( x - 2 )}

e x p an d (λ - e^{- w} μ) (e^{w} - 1)