AmI doing this right?

Multiply
(a+1/2)(a+1/3)

a^2+1/6

You've only got part of it. You need to multiply the 1/2 by "a" and then add THAT to the product of "a" * 1/3. So the answer would be a^2 + 5/6a + 1/6

Thank you Lynette. I figured I was missing something.

To multiply the expression (a+1/2)(a+1/3), you can use the distributive property.

First, distribute the term "a" to both terms in the second parentheses:
(a+1/2)(a+1/3) = a(a+1/3) + (1/2)(a+1/3)

Next, multiply both terms inside the parentheses:
a(a+1/3) = a^2 + (1/3)a

Similarly, multiply the second set of terms inside the parentheses:
(1/2)(a+1/3) = (1/2)a + (1/2)(1/3) = (1/2)a + 1/6

Finally, combine the results:
a^2 + (1/3)a + (1/2)a + 1/6 = a^2 + (5/6)a + 1/6

Therefore, the simplified form of the expression (a+1/2)(a+1/3) is a^2 + (5/6)a + 1/6.