Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{ 3y }{ 4xy-6 { y }^{ 2 } } \times \frac{ 2x-3y }{ 12x }$$

Answer

1/(8*x)

Solution


Factor out the common term \(2y\).
\[\frac{3y}{2y(2x-3y)}\times \frac{2x-3y}{12x}\]
Cancel \(y\).
\[\frac{3}{2(2x-3y)}\times \frac{2x-3y}{12x}\]
Cancel \(2x-3y\).
\[\frac{3}{2}\times \frac{1}{12x}\]
Simplify.
\[\frac{3}{24x}\]
Simplify.
\[\frac{1}{8x}\]
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