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

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

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expand (f(x+h)-8x+2)/h

expand

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

\frac{f x}{h} + f - \frac{8 x}{h} + \frac{2}{h}

Solution steps

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

Expand

f (x + h) - 8 x + 2 : f x + f h - 8 x + 2

= \frac{f x + f h - 8 x + 2}{h}

Apply the fraction rule:

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

\frac{f x + f h - 8 x + 2}{h} = \frac{f x}{h} + \frac{f h}{h} - \frac{8 x}{h} + \frac{2}{h}

= \frac{f x}{h} + \frac{f h}{h} - \frac{8 x}{h} + \frac{2}{h}

Cancel

\frac{f h}{h} : f

= \frac{f x}{h} + f - \frac{8 x}{h} + \frac{2}{h}

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\frac{15 s}{( s ^{2} + 25 ) ^{2}}

\frac{1}{( s - 3 ) ( s ^{2} + 9 )}

\frac{- 15 - 2 h}{3 ( 2 + k )}

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