展开 ((-19-3y)^2)/2

解答

展开

\frac{( - 19 - 3 y ) ^{2}}{2}

\frac{9 y ^{2}}{2} + 57 y + \frac{361}{2}

求解步骤

\frac{( - 19 - 3 y ) ^{2}}{2}

(- 19 - 3 y)^{2} = 361 + 114 y + 9 y^{2}

= \frac{361 + 114 y + 9 y ^{2}}{2}

使用分式法则:

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

\frac{361 + 114 y + 9 y ^{2}}{2} = \frac{361}{2} + \frac{114 y}{2} + \frac{9 y ^{2}}{2}

= \frac{361}{2} + \frac{114 y}{2} + \frac{9 y ^{2}}{2}

数字相除:

\frac{114}{2} = 57

= \frac{361}{2} + 57 y + \frac{9 y ^{2}}{2}

改写为标准形式

= \frac{9 y ^{2}}{2} + 57 y + \frac{361}{2}

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e x p an d \frac{9 x + 8}{2 ( x + 8 )}

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