Answer:
[tex]$ \frac{4(x + 1)}{5(x - 1)} $[/tex]
Step-by-step explanation:
Given: [tex]$ \frac{2(x + 3)}{x(x - 1)} \times \frac{4x(x + 2)}{10(x + 3)} $[/tex]
Cancelling out the common terms: (x + 3) and x, we get:
[tex]$ \frac{2}{x - 1} \times \frac{4(x + 2)}{10} $[/tex]
Cancelling 2 and 10 again, we get:
⇒ [tex]$ \frac{4(x + 2)}{5(x - 1)} $[/tex]
This is the final product.
