What is expand (f((-3x-8)+h)+3x-8)/h ?

The solution to expand (f((-3x-8)+h)+3x-8)/h is -(3xf)/h-(8f)/h+f+(3x)/h-8/h

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expand (f((-3x-8)+h)+3x-8)/h

expand

\frac{f ( ( - 3 x - 8 ) + h ) + 3 x - 8}{h}

- \frac{3 x f}{h} - \frac{8 f}{h} + f + \frac{3 x}{h} - \frac{8}{h}

Solution steps

\frac{f ( ( - 3 x - 8 ) + h ) + 3 x - 8}{h}

Remove parentheses:

(- a) = - a

= \frac{f ( - 3 x - 8 + h ) + 3 x - 8}{h}

Expand

f (- 3 x - 8 + h) + 3 x - 8 : - 3 x f - 8 f + f h + 3 x - 8

= \frac{- 3 x f - 8 f + f h + 3 x - 8}{h}

Apply the fraction rule:

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

\frac{- 3 x f - 8 f + f h + 3 x - 8}{h} = - \frac{3 x f}{h} - \frac{8 f}{h} + \frac{f h}{h} + \frac{3 x}{h} - \frac{8}{h}

= - \frac{3 x f}{h} - \frac{8 f}{h} + \frac{f h}{h} + \frac{3 x}{h} - \frac{8}{h}

Cancel

\frac{f h}{h} : f

= - \frac{3 x f}{h} - \frac{8 f}{h} + f + \frac{3 x}{h} - \frac{8}{h}

(- 5)^{3} \cdot (- 5)^{3}

d er v a t e (\frac{50}{x} - 2) x^{2}

(x y - y) (x d y + d y d x)

((x + 1) (x - 1)) \cdot ((x + 2) (x - 2))

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

What is expand (f((-3x-8)+h)+3x-8)/h ?
The solution to expand (f((-3x-8)+h)+3x-8)/h is -(3xf)/h-(8f)/h+f+(3x)/h-8/h