化简 (3sqrt(x)+1)^2

解答

化简

(3 x + 1)^{2}

9 x + 6 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} + 2 \cdot 3 x \cdot 1 + 1^{2}

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

(3 x)^{2} = 9 x

2 \cdot 3 x \cdot 1 = 6 x

1^{2} = 1

= 9 x + 6 x + 1

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