multiply (x+3) (x-2)

To multiply (x+3) and (x-2), we will use the distributive property which states that for any numbers a, b, and c:

a * (b + c) = a * b + a * c

So, when we multiply (x+3) and (x-2), we will distribute x to both terms in the second parenthesis and 3 to both terms in the second parenthesis:

(x+3)(x-2) = x*x - x*2 + 3*x - 3*2
= x^2 - 2x + 3x - 6
= x^2 + x - 6

Therefore, the product of (x+3) and (x-2) is x^2 + x - 6.