化简 (sqrt(3)x-1)^2

解答

化简

(3 x - 1)^{2}

3 x^{2} - 23 x + 1

求解步骤

(3 x - 1)^{2}

使用完全平方公式:

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

(3 x - 1)^{2} = (3 x)^{2} - 23 x \cdot 1 + 1^{2}

= (3 x)^{2} - 23 x \cdot 1 + 1^{2}

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

- 23 x \cdot 1 = - 23 x

1^{2} = 1

= 3 x^{2} - 23 x + 1

e x p an d (u - 7) u

e x p an d (x 32 + y 3)^{6}

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

e x p an d (x 32 + y 3)^{5}

e x p an d (csc (x) - tan (x)) (1 + cos (x))