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}

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{- 3 x + 3}{( x - 3 ) ( x - 5 )}

, (q + r + p s) + (p + s)

\frac{d}{d x} ((x, y) (y^{5} - 3 x y))

((5 x + 2) (x + 9)) x

(a - b = 3,) (a^{2} - b^{2} = 33)

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