What is expand (f(x+h)-2x^3-x+5)/h ?

The solution to expand (f(x+h)-2x^3-x+5)/h is (fx)/h+f-(2x^3)/h-x/h+5/h

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expand (f(x+h)-2x^3-x+5)/h

expand

\frac{f ( x + h ) - 2 x ^{3} - x + 5}{h}

\frac{f x}{h} + f - \frac{2 x ^{3}}{h} - \frac{x}{h} + \frac{5}{h}

Solution steps

\frac{f ( x + h ) - 2 x ^{3} - x + 5}{h}

Expand

f (x + h) - 2 x^{3} - x + 5 : f x + f h - 2 x^{3} - x + 5

= \frac{f x + f h - 2 x ^{3} - x + 5}{h}

Apply the fraction rule:

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

\frac{f x + f h - 2 x ^{3} - x + 5}{h} = \frac{f x}{h} + \frac{f h}{h} - \frac{2 x ^{3}}{h} - \frac{x}{h} + \frac{5}{h}

= \frac{f x}{h} + \frac{f h}{h} - \frac{2 x ^{3}}{h} - \frac{x}{h} + \frac{5}{h}

Cancel

\frac{f h}{h} : f

= \frac{f x}{h} + f - \frac{2 x ^{3}}{h} - \frac{x}{h} + \frac{5}{h}

(e^{x} + 3 x)^{2}

(x^{2} - 2 x + 5) e - x d x

e^{i (a + b)} + e^{- i (a + b)}

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

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

What is expand (f(x+h)-2x^3-x+5)/h ?
The solution to expand (f(x+h)-2x^3-x+5)/h is (fx)/h+f-(2x^3)/h-x/h+5/h