Question

Solve this problem please

Answer 1

The simplest form of the given problem is
`((x-1)(x-3))/(3(x+3))`

Explanation:

Given,

`(x^(2) +x-2)/(x+3) .(x-3)/(3x+6)`

To find its simplified form.

First we will factorize
`x^(2) +x-2` by middle term factor formula.

Now,

`x^(2) +x-2`

=
`x^(2) +2x-x-2`

= x(x+2)-1(x+2)

= (x+2)(x-1)

Putting this value into given problem we get,

`(x^(2) +x-2)/(x+3) .(x-3)/(3x+6)`

=
`((x+2)(x-1))/((x+3)) .(x-3)/(3(x+2))` [ eliminating (x+2)]

=
`((x-1)(x-3))/(3(x+3))`

This is the simplest form.