What is expand (6(a^2-2b^2))/(ab) ?

The solution to expand (6(a^2-2b^2))/(ab) is (6a)/b-(12b)/a

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expand (6(a^2-2b^2))/(ab)

expand

\frac{6 ( a ^{2} - 2 b ^{2} )}{ab}

\frac{6 a}{b} - \frac{12 b}{a}

Solution steps

\frac{6 ( a ^{2} - 2 b ^{2} )}{ab}

Expand

6 (a^{2} - 2 b^{2}) : 6 a^{2} - 12 b^{2}

= \frac{6 a ^{2} - 12 b ^{2}}{ab}

Apply the fraction rule:

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

\frac{6 a ^{2} - 12 b ^{2}}{ab} = \frac{6 a ^{2}}{ab} - \frac{12 b ^{2}}{ab}

= \frac{6 a ^{2}}{ab} - \frac{12 b ^{2}}{ab}

Cancel

\frac{6 a ^{2}}{ab} : \frac{6 a}{b}

= \frac{6 a}{b} - \frac{12 b ^{2}}{ab}

Cancel

\frac{12 b ^{2}}{ab} : \frac{12 b}{a}

= \frac{6 a}{b} - \frac{12 b}{a}

\frac{4 ( x + 3 )}{3 x + 16}

(10 y + 15) (- 3 y + 17)

(e^{2 x} + 2 x e^{2 x})^{2}

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

2 (r - \frac{3}{4} - 8 = 50)

What is expand (6(a^2-2b^2))/(ab) ?
The solution to expand (6(a^2-2b^2))/(ab) is (6a)/b-(12b)/a