What is (3x^2-12)/(5x-10)*1/(2x+4) ?

The solution to (3x^2-12)/(5x-10)*1/(2x+4) is 3/10

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simplify (3x^2-12)/(5x-10)*1/(2x+4)

simplify

\frac{3 x ^{2} - 12}{5 x - 10} \cdot \frac{1}{2 x + 4}

\frac{3}{10}

Decimal Notation

0.3

Solution steps

\frac{3 x ^{2} - 12}{5 x - 10} \cdot \frac{1}{2 x + 4}

Cancel

\frac{3 x ^{2} - 12}{5 x - 10} : \frac{3 ( x + 2 )}{5}

= \frac{3 ( x + 2 )}{5} \cdot \frac{1}{2 x + 4}

Apply the fraction rule:

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

= \frac{3 ( x + 2 ) \cdot 1}{5 ( 2 x + 4 )}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3 ( x + 2 )}{5 ( 2 x + 4 )}

Factor

2 x + 4 : 2 (x + 2)

= \frac{3 ( x + 2 )}{5 \cdot 2 ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{3}{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= \frac{3}{10}

- \frac{1}{2} i^{3} (- 9 - 4) - 3 i^{2}

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- 2 [7 a - (- 7 a + 5 b - 1 + 6 (a - 8 b + 9)) - (4 b - 8)]

52 \cdot 96

(1 - cos^{2} (x))^{2}

What is (3x^2-12)/(5x-10)*1/(2x+4) ?
The solution to (3x^2-12)/(5x-10)*1/(2x+4) is 3/10