What is (6x-12y)/(4y-2x) ?

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

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simplify (6x-12y)/(4y-2x)

simplify

\frac{6 x - 12 y}{4 y - 2 x}

- 3

Solution steps

\frac{6 x - 12 y}{4 y - 2 x}

Factor

6 x - 12 y : 6 (x - 2 y)

= \frac{6 ( x - 2 y )}{4 y - 2 x}

Factor

4 y - 2 x : 2 (2 y - x)

= \frac{6 ( x - 2 y )}{2 ( 2 y - x )}

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

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

2 y - x = - (x - 2 y)

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

Cancel the common factor:

x - 2 y

= \frac{3}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - 3

m^{2} - 2 m^{2} - 7 m^{2}

(A - 1)^{2} + (B - 2)^{2}

\frac{- 15}{- 3}

\frac{4 x ^{2} y ^{2}}{6 x ^{2} y ^{3}} \cdot \frac{5 a ^{2} b ^{4}}{2 a b ^{3}}

\frac{1}{( x - y )} (x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3})