What is (5x-10)/3*(12)/(x-2) ?

The solution to (5x-10)/3*(12)/(x-2) is 20

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simplify (5x-10)/3*(12)/(x-2)

simplify

\frac{5 x - 10}{3} \cdot \frac{12}{x - 2}

20

Solution steps

\frac{5 x - 10}{3} \cdot \frac{12}{x - 2}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( 5 x - 10 ) \cdot 12}{3 ( x - 2 )}

Factor the number:

12 = 3 \cdot 4

= \frac{( 5 x - 10 ) \cdot 3 \cdot 4}{3 ( x - 2 )}

Cancel the common factor:

3

= \frac{( 5 x - 10 ) \cdot 4}{x - 2}

Factor

5 x - 10 : 5 (x - 2)

= \frac{5 ( x - 2 ) \cdot 4}{x - 2}

Cancel the common factor:

x - 2

= 5 \cdot 4

Multiply the numbers:

5 \cdot 4 = 20

= 20

2 x^{2} + x - 36

512 - 227

50 \cdot 3

16 \cdot 16 \cdot 16

(cos (t) - sin (t))^{2}