展开 (2w-1)^3

解答

展开

(2 w - 1)^{3}

8 w^{3} - 12 w^{2} + 6 w - 1

求解步骤

(2 w - 1)^{3}

使用完全立方公式:

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

(2 w - 1)^{3} = (2 w)^{3} - 3 (2 w)^{2} \cdot 1 + 3 \cdot 2 w \cdot 1^{2} - 1^{3}

= (2 w)^{3} - 3 (2 w)^{2} \cdot 1 + 3 \cdot 2 w \cdot 1^{2} - 1^{3}

化简

(2 w)^{3} - 3 (2 w)^{2} \cdot 1 + 3 \cdot 2 w \cdot 1^{2} - 1^{3} : 8 w^{3} - 12 w^{2} + 6 w - 1

= 8 w^{3} - 12 w^{2} + 6 w - 1

f a c t or x^{3} - 3 x^{2} + 3 x - 9

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

s im pl i f y 14 \frac{x}{x} + 19 x - \frac{30}{x} - 4

s im pl i f y - 5 x^{3}

f a c t or x^{9} + 27