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

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

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

expand

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

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

Solution steps

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

Expand

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

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

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

Cancel

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

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

Cancel

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

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

(m + 3, n - 5) (11 - m, m)

(x - 3)^{17}

\frac{d}{d x} ((3 x - 2) (x + 3)) - 4 x

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

\frac{3 x - 4}{x ^{2} ( x + 2 )}

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