展开 ((y-z)^2-x)/2

解答

展开

\frac{( y - z ) ^{2} - x}{2}

\frac{y ^{2}}{2} - yz + \frac{z ^{2}}{2} - \frac{x}{2}

求解步骤

\frac{( y - z ) ^{2} - x}{2}

乘开

(y - z)^{2} - x : y^{2} - 2 yz + z^{2} - x

= \frac{y ^{2} - 2 yz + z ^{2} - x}{2}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{y ^{2} - 2 yz + z ^{2} - x}{2} = \frac{y ^{2}}{2} - \frac{2 yz}{2} + \frac{z ^{2}}{2} - \frac{x}{2}

= \frac{y ^{2}}{2} - \frac{2 yz}{2} + \frac{z ^{2}}{2} - \frac{x}{2}

数字相除:

\frac{2}{2} = 1

= \frac{y ^{2}}{2} - yz + \frac{z ^{2}}{2} - \frac{x}{2}

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