What is (xy)/(30)-(xy)/(12) ?

The solution to (xy)/(30)-(xy)/(12) is -(xy)/(20)

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simplify (xy)/(30)-(xy)/(12)

simplify

\frac{x y}{30} - \frac{x y}{12}

- \frac{x y}{20}

Solution steps

\frac{x y}{30} - \frac{x y}{12}

Least Common Multiplier of

30, 12 : 60

Adjust Fractions based on the LCM

= \frac{x y \cdot 2}{60} - \frac{x y \cdot 5}{60}

Apply the fraction rule:

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

= \frac{x y \cdot 2 - x y \cdot 5}{60}

Add similar elements:

x y \cdot 2 - x y \cdot 5 = - 3 x y

= \frac{- 3 x y}{60}

Cancel

\frac{- 3 x y}{60} : - \frac{x y}{20}

= - \frac{x y}{20}

(x - 1)^{2} - 4 (x - 1) - 32 = 0

x^{2} - 3 x - 28 = 0

81 \cdot 3

\frac{11}{2}

\frac{2}{5} (x - 2) = - 3