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

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

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

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{2 x h}{h} : 2 x

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

Cancel

\frac{h ^{2}}{h} : h

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

\frac{5}{( s - 4 ) ( s + 6 )}

\frac{d ^{2}}{d x ^{2}} ((y) (2 x^{2} - 4) 2 x^{2}) - 4

\frac{7}{( s + 2 ) ( s + 1 ) ( s + 4 )}

\frac{2 + 3 s}{s ( s + 2.5 )} + 1

\frac{s - 9}{( s - 1 ) ( s - 5 )}

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