What is expand (f(x+h)-x^2-1)/h ?

The solution to expand (f(x+h)-x^2-1)/h is (fx)/h+f-(x^2)/h-1/h

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expand (f(x+h)-x^2-1)/h

expand

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

\frac{f x}{h} + f - \frac{x ^{2}}{h} - \frac{1}{h}

Solution steps

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

Expand

f (x + h) - x^{2} - 1 : f x + f h - x^{2} - 1

= \frac{f x + f h - x ^{2} - 1}{h}

Apply the fraction rule:

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

\frac{f x + f h - x ^{2} - 1}{h} = \frac{f x}{h} + \frac{f h}{h} - \frac{x ^{2}}{h} - \frac{1}{h}

= \frac{f x}{h} + \frac{f h}{h} - \frac{x ^{2}}{h} - \frac{1}{h}

Cancel

\frac{f h}{h} : f

= \frac{f x}{h} + f - \frac{x ^{2}}{h} - \frac{1}{h}

\frac{( x + 1 ) ( x - 5 )}{( x + 3 ) ( x - 6 )}

(8 x^{2} - 2 x y + 3) d x

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

\frac{( t + c ) ^{2}}{10000 π ^{2}}

\frac{5}{( 1 - x ) ^{2}}

What is expand (f(x+h)-x^2-1)/h ?
The solution to expand (f(x+h)-x^2-1)/h is (fx)/h+f-(x^2)/h-1/h