展开 (x+sqrt(x))^3

解答

展开

(x + x)^{3}

x^{3} + 3 x^{2} x + 3 x^{2} + x x

求解步骤

(x + x)^{3}

使用完全立方公式:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(x + x)^{3} = x^{3} + 3 x^{2} x + 3 x (x)^{2} + (x)^{3}

= x^{3} + 3 x^{2} x + 3 x (x)^{2} + (x)^{3}

化简

x^{3} + 3 x^{2} x + 3 x (x)^{2} + (x)^{3} : x^{3} + 3 x^{2} x + 3 x^{2} + x x

= x^{3} + 3 x^{2} x + 3 x^{2} + x x

s im pl i f y d g (- sin (\frac{π}{12}) - (0.12) cos (\frac{π}{12}))

s im pl i f y (n^{2} - n)^{2}

e x p an d \frac{8 e ^{- π s}}{( s ^{2} + 1 ) ( s ^{2} + 9 )}

e x p an d \frac{1}{1 + x ^{4}}

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