(t+7/3)^2

What do you want to do with that?

Find the following special product. Simplify your answer completely.

Thank you

I don't see anything special about it. Expanding it, we get

(t+7/3)(t+7/3)
= t^2 + 14/3 t + 49/9

To expand the expression (t+7/3)^2, we'll use the formula for expanding a binomial raised to the power of 2, which is (a + b)^2 = a^2 + 2ab + b^2.

In this case, our binomial is (t+7/3). Let's break it down and apply the formula step by step:

Step 1: Square the first term: (t)^2 = t^2.
Step 2: Multiply twice the product of the two terms: 2 * (t) * (7/3) = (14/3)t.
Step 3: Square the second term: (7/3)^2 = 49/9.

Now, we can combine these three parts together to get the expanded expression:

(t+7/3)^2 = t^2 + (14/3)t + 49/9.

So, the expanded form of (t+7/3)^2 is t^2 + (14/3)t + 49/9.