化简 (6x-i)^2

解答

化简

(6 x - i)^{2}

(36 x^{2} - 1) - 12 x i

求解步骤

(6 x - i)^{2}

使用完全平方公式:

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

(6 x - i)^{2} = (6 x)^{2} - 2 \cdot 6 x i + i^{2}

= (6 x)^{2} - 2 \cdot 6 x i + i^{2}

(6 x)^{2} = 36 x^{2}

- 2 \cdot 6 x i = - 12 x i

i^{2} = - 1

= 36 x^{2} - 12 x i - 1

Rewrite in standard complex form:

(36 x^{2} - 1) - 12 x i

= (36 x^{2} - 1) - 12 x i

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