Question

Multiply 2(x+3)/x(x-1)*4x(x+2)/10(x+3)

Answer 1

Answer:

The expression simplifies to $\frac{4(x+2)}{5(x-1)}$.

Step-by-step explanation:

The expression

$\frac{2(x+3)}{x(x-1)} *\frac{4x(x+2)}{10(x+3)}$

can be rearranged and written as

$\frac{8x(x+3)(x+2)}{10x(x-1)(x+3)}.$

In this form the $(x+3)$ terms in the numerator and in the denominator cancel to give

$\frac{8x(x+2)}{10x(x-1)}.$

The $x's$ are present both in the numerator and in the denominator, so they also cancel, and the fraction $\frac{8}{10}$ simplifies to $\frac{4}{5}$, so finally our expression becomes:

$\boxed{\frac{4(x+2)}{5(x-1)}}$

Which is our answer:)