Is this question to perhaps...find the constant term in the expansion?

In this case, the two terms in our binomial expression contain x. We have to be very careful when dealing with such expressions.

We can continue to write out the general term as usual; however, we should aim to collect all powers of x and lump them into a single power of x so as to be able to obtain the different powers of x more easily. Recall that different values of "r" will give us all the different terms in the full expansion of the binomial expression.

the question is asking for the independent of x ! but your answer is correct anyway ! I just don’t quite understand how you came to your answer because when I key it into the calculator I get 14909440.

but my answer is wrong but yours is correct

“Term independent of x” means the term with no x in it - also called the constant term.

Lana, could it be the way you typed the values into the calculator? You could try typing the values once again.

Found it!

You typed 15C12 times 2^3 times 2^12.

Correct is (1/2)^3 instead of 2^3.