展开 (k+sqrt(1))(k^2+k+sqrt(1))

解答

展开

(k + 1) (k^{2} + k + 1)

k^{3} + 2 k^{2} + 2 k + 1

求解步骤

(k + 1) (k^{2} + k + 1)

打开括号

= k k^{2} + kk + k 1 + 1 k^{2} + 1 k + 11

化简

k k^{2} + kk + k 1 + 1 k^{2} + 1 k + 11 : k^{3} + 2 k^{2} + 2 k + 1

= k^{3} + 2 k^{2} + 2 k + 1

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

e x p an d 3 (5 - 11)

e x p an d (e^{x} sin (2 x) + 2 e^{x} cos (2 x))^{2}

e x p an d 162 (3 π - 4)

s im pl i f y (x - \frac{1}{2}) (x + 4)