algebra
posted by lee on .
What is the product in simpliest form state any restrictions on the variable
x^2+7x+10 / x+3 times x^23x18 / x^2+x+2
I got (x+5)(x6) / x1, not sure on restrictions either 1 or 3,2, and 1

factoring the numerators, ad assuming you meant x^2x2, we have
(x+5)(x+2)/(x+3) * (x6)(x+3)/(x+2)(x1)
= (x+5)(x6)/(x1)
It appears that only x=1 is excluded, but you have to remember that you divided out (x+3) and (x+2).
So, we must have x≠1,2,3 since in those cases the original fractions are not defined.