Consider the binomial expression (x+y)^10. use the binomial theorem to complete each statement.

I think the answer is 3rd, 6th, and then 10th for each statement.

Step-by-step explanation:

I'm doing this activity right now on PLATO but I haven't turned it in yet. However, I know that this is the expanded form:

( x  +  y ) ^10  =  1  ×  x ^10  ×  y ^0  +  10  ×  x ^9  ×  y ^1  +  45  ×  x ^8  ×  y ^2  +  120  ×  x ^7  ×  y ^3  +  210  ×  x ^6  ×  y ^4  +  252  ×  x ^5  ×  y ^5  +  210  ×  x ^4  ×  y ^6  +  120  ×  x ^3  ×  y ^7  +  45  ×  x ^2  ×  y ^8  +  10  ×  x  ×  y ^9  +  1  ×  x  ×  y ^10

All you have to do is count each term.

For example, I know that the third term is 45x^8y^2 because I counted the first two and saw it was the third.

Hope his helped because I couldn't find the answer for this anywhere else!

true

step-by-step explanation: