Express the product in lowest terms ( x^2-x-6/3x-9)•(2/x+2)

We can factor the numerator of the first fraction by finding its roots. In fact, every time an expression like has solutions , then the polynomial can be written as

So, using the quadratic formula, i.e.

we can find the solutions

So, the two solutions are -2 and 3, which means that we have the following factorization:

Moreover we can factor a 3 out of the denominator of that same fraction to get

So, the expression looks like this:

So, we can simplify a factor of x-3 from the first fraction, and cross-simplify a factor of x+2. We have

more detail

step-by-step explanation: