Question

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

Answer 1

4(x+2)/5(×-1)

Explanation:

I just took the

Answer 2

The expression simplifies to
`(4(x+2))/(5(x-1))`.

Explanation:

The expression

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

can be rearranged and written as

`(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

`(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
`(8)/(10)` simplifies to
`(4)/(5)`, so finally our expression becomes:

`\boxed{(4(x+2))/(5(x-1))}`

Which is our answer:)