展开 (x-pi/6)^2

解答

展开

(x - \frac{π}{6})^{2}

x^{2} - \frac{π x}{3} + \frac{π ^{2}}{36}

求解步骤

(x - \frac{π}{6})^{2}

使用完全平方公式:

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

a = x, b = \frac{π}{6}

= x^{2} - 2 x \frac{π}{6} + (\frac{π}{6})^{2}

化简

x^{2} - 2 x \frac{π}{6} + (\frac{π}{6})^{2} : x^{2} - \frac{π x}{3} + \frac{π ^{2}}{36}

= x^{2} - \frac{π x}{3} + \frac{π ^{2}}{36}

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