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

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

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

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

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

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

Apply the fraction rule:

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

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

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

Cancel

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

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

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

\frac{6 x ^{3}}{( x - 7 ) ^{2}}

7 (3 x + 4 y = - 20)

x^{'} z (x) + y (x, z (x)) (x + z (x))

25 (33 - π)

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