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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{f h}{h} : f

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

\frac{3 ( - y + 2 ) ^{2}}{8}

\frac{( a + b ) ^{2}}{b}

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

(2 x - Q x) d x

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

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