What is (2y)/(y-3)*(4y-12)/(2y+6) ?

The solution to (2y)/(y-3)*(4y-12)/(2y+6) is (4y)/(y+3)

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simplify (2y)/(y-3)*(4y-12)/(2y+6)

simplify

\frac{2 y}{y - 3} \cdot \frac{4 y - 12}{2 y + 6}

\frac{4 y}{y + 3}

Solution steps

\frac{2 y}{y - 3} \cdot \frac{4 y - 12}{2 y + 6}

Cancel

\frac{4 y - 12}{2 y + 6} : \frac{2 ( y - 3 )}{y + 3}

= \frac{2 y}{y - 3} \cdot \frac{2 ( y - 3 )}{y + 3}

Apply the fraction rule:

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

= \frac{2 y \cdot 2 ( y - 3 )}{( y - 3 ) ( y + 3 )}

Cancel the common factor:

y - 3

= \frac{2 y \cdot 2}{y + 3}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4 y}{y + 3}

\frac{23}{8}

\frac{5 x}{x - 6} + \frac{1}{x - 6}

- \frac{11}{42} - \frac{2}{3}

\frac{309600000}{6054900000}

cos (x) - cos^{3} (x)

What is (2y)/(y-3)*(4y-12)/(2y+6) ?
The solution to (2y)/(y-3)*(4y-12)/(2y+6) is (4y)/(y+3)