What is expand ((a+b)^2)/(ab) ?

The solution to expand ((a+b)^2)/(ab) is a/b+2+b/a

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expand ((a+b)^2)/(ab)

expand

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

\frac{a}{b} + 2 + \frac{b}{a}

Solution steps

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

(a + b)^{2} = a^{2} + 2 ab + b^{2}

= \frac{a ^{2} + 2 ab + b ^{2}}{ab}

Apply the fraction rule:

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

\frac{a ^{2} + 2 ab + b ^{2}}{ab} = \frac{a ^{2}}{ab} + \frac{2 ab}{ab} + \frac{b ^{2}}{ab}

= \frac{a ^{2}}{ab} + \frac{2 ab}{ab} + \frac{b ^{2}}{ab}

Cancel

\frac{a ^{2}}{ab} : \frac{a}{b}

= \frac{a}{b} + \frac{2 ab}{ab} + \frac{b ^{2}}{ab}

Cancel

\frac{2 ab}{ab} : 2

= \frac{a}{b} + 2 + \frac{b ^{2}}{ab}

Cancel

\frac{b ^{2}}{ab} : \frac{b}{a}

= \frac{a}{b} + 2 + \frac{b}{a}

(c - d) (e - f)

\frac{d}{d t} ((x) (100 (1 - x^{2})))

\frac{1}{1 + x}

\frac{2}{( s ^{2} + 1 ) ( s - 1 ) ^{2}}

\frac{( 100 + x ) ( 56 + 3 x )}{35}

What is expand ((a+b)^2)/(ab) ?
The solution to expand ((a+b)^2)/(ab) is a/b+2+b/a