化简 (xsqrt(x)-2sqrt(x))^2

解答

化简

(x x - 2 x)^{2}

x^{3} - 4 x^{2} + 4 x

求解步骤

(x x - 2 x)^{2}

使用完全平方公式:

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

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

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

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

- 2 x x \cdot 2 x = - 4 x^{2}

(2 x)^{2} = 4 x

= x^{3} - 4 x^{2} + 4 x

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