展开 (f(x^2-8+H)-x^2-8)/H

解答

展开

\frac{f ( x ^{2} - 8 + H ) - x ^{2} - 8}{H}

\frac{f x ^{2}}{H} - \frac{8 f}{H} + f - \frac{x ^{2}}{H} - \frac{8}{H}

求解步骤

\frac{f ( x ^{2} - 8 + H ) - x ^{2} - 8}{H}

乘开

f (x^{2} - 8 + H) - x^{2} - 8 : f x^{2} - 8 f + f H - x^{2} - 8

= \frac{f x ^{2} - 8 f + f H - x ^{2} - 8}{H}

使用分式法则:

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

\frac{f x ^{2} - 8 f + f H - x ^{2} - 8}{H} = \frac{f x ^{2}}{H} - \frac{8 f}{H} + \frac{f H}{H} - \frac{x ^{2}}{H} - \frac{8}{H}

= \frac{f x ^{2}}{H} - \frac{8 f}{H} + \frac{f H}{H} - \frac{x ^{2}}{H} - \frac{8}{H}

消掉

\frac{f H}{H} : f

= \frac{f x ^{2}}{H} - \frac{8 f}{H} + f - \frac{x ^{2}}{H} - \frac{8}{H}

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e x p an d ((1 + 5 t)^{4} e^{2 + 2 t}) 5