What is expand (f(x^2-8+H)-x^2-8)/H ?

The solution to expand (f(x^2-8+H)-x^2-8)/H is (fx^2)/H-(8f)/H+f-(x^2)/H-8/H

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expand (f(x^2-8+H)-x^2-8)/H

expand

\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}

Solution steps

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

Expand

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}

Apply the fraction rule:

\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}

Cancel

\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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What is expand (f(x^2-8+H)-x^2-8)/H ?
The solution to expand (f(x^2-8+H)-x^2-8)/H is (fx^2)/H-(8f)/H+f-(x^2)/H-8/H