What is expand ((a+h)^2-4)/h ?

The solution to expand ((a+h)^2-4)/h is (a^2)/h+2a+h-4/h

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expand ((a+h)^2-4)/h

expand

\frac{( a + h ) ^{2} - 4}{h}

\frac{a ^{2}}{h} + 2 a + h - \frac{4}{h}

Solution steps

\frac{( a + h ) ^{2} - 4}{h}

Expand

(a + h)^{2} - 4 : a^{2} + 2 ah + h^{2} - 4

= \frac{a ^{2} + 2 ah + h ^{2} - 4}{h}

Apply the fraction rule:

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

\frac{a ^{2} + 2 ah + h ^{2} - 4}{h} = \frac{a ^{2}}{h} + \frac{2 ah}{h} + \frac{h ^{2}}{h} - \frac{4}{h}

= \frac{a ^{2}}{h} + \frac{2 ah}{h} + \frac{h ^{2}}{h} - \frac{4}{h}

Cancel

\frac{2 ah}{h} : 2 a

= \frac{a ^{2}}{h} + 2 a + \frac{h ^{2}}{h} - \frac{4}{h}

Cancel

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

= \frac{a ^{2}}{h} + 2 a + h - \frac{4}{h}

(x e^{x} - e^{x} + C) (2 x - 1)

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

\frac{d x}{x ^{2} ( x ^{2} + 4 )}

A (10, 5) B (3, 2) C (6, - 5)

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

What is expand ((a+h)^2-4)/h ?
The solution to expand ((a+h)^2-4)/h is (a^2)/h+2a+h-4/h