化简 (sqrt(y)-4)^2

解答

化简

(y - 4)^{2}

y - 8 y + 16

求解步骤

(y - 4)^{2}

使用完全平方公式:

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

(y - 4)^{2} = (y)^{2} - 2 y \cdot 4 + 4^{2}

= (y)^{2} - 2 y \cdot 4 + 4^{2}

(y)^{2} = y

- 2 y \cdot 4 = - 8 y

4^{2} = 16

= y - 8 y + 16

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