What is expand (f(x+h)-sqrt(x+6))/h ?

The solution to expand (f(x+h)-sqrt(x+6))/h is (xf)/h+f-(sqrt(x+6))/h

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expand (f(x+h)-sqrt(x+6))/h

expand

\frac{f ( x + h ) - x + 6}{h}

\frac{x f}{h} + f - \frac{x + 6}{h}

Solution steps

\frac{f ( x + h ) - x + 6}{h}

Expand

f (x + h) - x + 6 : x f + f h - x + 6

= \frac{x f + f h - x + 6}{h}

Apply the fraction rule:

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

\frac{x f + f h - x + 6}{h} = \frac{x f}{h} + \frac{f h}{h} - \frac{x + 6}{h}

= \frac{x f}{h} + \frac{f h}{h} - \frac{x + 6}{h}

Cancel

\frac{f h}{h} : f

= \frac{x f}{h} + f - \frac{x + 6}{h}

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\frac{( x + 1 ) ( 2 x - 1 )}{2 x}

\frac{1}{( x + 3 ) ( x + 2 )}

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What is expand (f(x+h)-sqrt(x+6))/h ?
The solution to expand (f(x+h)-sqrt(x+6))/h is (xf)/h+f-(sqrt(x+6))/h