What is (2ax+4bx)/(3ay+6by) ?

The solution to (2ax+4bx)/(3ay+6by) is (2x)/(3y)

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simplify (2ax+4bx)/(3ay+6by)

simplify

\frac{2 a x + 4 b x}{3 a y + 6 b y}

\frac{2 x}{3 y}

Solution steps

\frac{2 a x + 4 b x}{3 a y + 6 b y}

Factor out common term

2 x : 2 x (a + 2 b)

= \frac{2 x ( a + 2 b )}{3 a y + 6 b y}

Factor out common term

3 y : 3 y (a + 2 b)

= \frac{2 x ( a + 2 b )}{3 y ( a + 2 b )}

Cancel the common factor:

a + 2 b

= \frac{2 x}{3 y}

\frac{x}{x ^{2} - 1}

\frac{- 8 a ^{2} x ^{3}}{- 8 a ^{2} x ^{3}}

(x + 5)^{3}

\frac{x ^{2} + 7 x + 12}{x ^{2} + 5 x + 6}

(3 x - 2) (3 x^{2} - 8 x + 3)