Question

$$\frac{ 3x-9 }{ 5x-15 } \times \frac{ 10x-15 }{ 8x-4 }$$

Answer

(3*(2*x-3))/(4*(2*x-1))

Solution


Factor out the common term \(3\).
\[\frac{3(x-3)}{5x-15}\times \frac{10x-15}{8x-4}\]
Factor out the common term \(5\).
\[\frac{3(x-3)}{5(x-3)}\times \frac{10x-15}{8x-4}\]
Factor out the common term \(5\).
\[\frac{3(x-3)}{5(x-3)}\times \frac{5(2x-3)}{8x-4}\]
Factor out the common term \(4\).
\[\frac{3(x-3)}{5(x-3)}\times \frac{5(2x-3)}{4(2x-1)}\]
Cancel \(x-3\).
\[\frac{3}{5}\times \frac{5(2x-3)}{4(2x-1)}\]
Cancel \(5\).
\[3\times \frac{2x-3}{4(2x-1)}\]
Simplify.
\[\frac{3(2x-3)}{4(2x-1)}\]