What is the product in the simplest form? state any restrictions on the variable.

(x^2+7x+10)/(x+3)*(x^2-3x-18)/(x^2+ x-2)

see explanation

Step-by-step explanation:

Factor the numerators/ denominators where possible

x² + 7x + 10 = (x+ 2)(x + 5)

x² - 3x - 18 = (x - 6)(x + 3)

x² + x - 2 = (x + 2)(x - 1)

Hence

= ×

Cancel the factors (x + 2) and (x + 3) on numerator/denominator

= ← in simplest form

The denominator of the product cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 1 = 0 ⇒ x = 1 ← restricted value

do your own work and don"t cheat.

step-by-step explanation:

many reason,

step-by-step explanation: