Question

Please help :/ What are the coefficients, in order, of the binomial (x+y)^5?

Answer 1

ok, so you can find the coefficients using pascal's triangle.
what you do is, take the exponent and add one. then count down the number of rows. those are the coefficients.
http://www.math10.com/en/algebra/probabilities/binomial-theorem/binomial-theorem.html
need an example?

Answer 2

Yes please, an example would help

Answer 3

For this problem, Pascals' Triangle gives you the answer:
0 1
1 1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
5 1 5 10 10 5 1

Since the exponent in this expansion is 5, the numbers in row 5 are the coefficients.
Let's take a look at another example though.
(2x + y)^3
Again, go to the row in which the exponent says.
1, 3, 3, 1. These are the coefficients to start with when expanding. However, there is a 2 within the expansion, so these are not the coefficients.
\[1(2x)^{3}(y)^{0} + 3(2x)^{2}(y)^{1} + 3(2x)^{1}(y)^{2} + 1(2x)^{0}(y)^{3}\]
\[8x^{3} + 12x^{2}y + 6xy^{2} + y^{3}\]
See? The coefficients are different because of the term.

Answer 4

Oh I see. Thanks!

Answer 5

You're welcome :)