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

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

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

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

= \frac{f ( x + h - f x )}{h}

Expand

f (x + h - f x) : f x + f h - f^{2} x

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

Apply the fraction rule:

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

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

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

Cancel

\frac{f h}{h} : f

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

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