展开 (6k-b-c)^5

解答

展开

(6 k - b - c)^{5}

7776 k^{5} - 6480 k^{4} b - 6480 k^{4} c + 2160 k^{3} b^{2} + 2160 k^{3} c^{2} + 4320 k^{3} b c - 360 k^{2} b^{3} - 360 k^{2} c^{3} - 1080 k^{2} b c^{2} - 1080 k^{2} b^{2} c + 30 k b^{4} + 30 k c^{4} + 120 kb c^{3} + 180 k b^{2} c^{2} + 120 k b^{3} c - b^{5} - c^{5} - 5 b c^{4} - 10 b^{2} c^{3} - 10 b^{3} c^{2} - 5 b^{4} c

求解步骤

(6 k - b - c)^{5}

(6 k - b - c)^{5} = (6 k - b - c) (6 k - b - c) (6 k - b - c) (6 k - b - c) (6 k - b - c)

= (6 k - b - c) (6 k - b - c) (6 k - b - c) (6 k - b - c) (6 k - b - c)

乘开

(6 k - b - c) (6 k - b - c) (6 k - b - c) (6 k - b - c) (6 k - b - c) : 7776 k^{5} - 6480 k^{4} b - 6480 k^{4} c + 2160 k^{3} b^{2} + 2160 k^{3} c^{2} + 4320 k^{3} b c - 360 k^{2} b^{3} - 360 k^{2} c^{3} - 1080 k^{2} b c^{2} - 1080 k^{2} b^{2} c + 30 k b^{4} + 30 k c^{4} + 120 kb c^{3} + 180 k b^{2} c^{2} + 120 k b^{3} c - b^{5} - c^{5} - 5 b c^{4} - 10 b^{2} c^{3} - 10 b^{3} c^{2} - 5 b^{4} c

= 7776 k^{5} - 6480 k^{4} b - 6480 k^{4} c + 2160 k^{3} b^{2} + 2160 k^{3} c^{2} + 4320 k^{3} b c - 360 k^{2} b^{3} - 360 k^{2} c^{3} - 1080 k^{2} b c^{2} - 1080 k^{2} b^{2} c + 30 k b^{4} + 30 k c^{4} + 120 kb c^{3} + 180 k b^{2} c^{2} + 120 k b^{3} c - b^{5} - c^{5} - 5 b c^{4} - 10 b^{2} c^{3} - 10 b^{3} c^{2} - 5 b^{4} c

e x p an d sin (2 (x + 2 π))

e x p an d p \cdot a (x, 2 x - 1, 5 x + 6)

e x p an d (sin (x) - cos (x)) (e^{x})

e x p an d π (1010 - 1)

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