Question

Use the binomial theorem to expand completely (3x+y)^4

Answer 1

thanks

Answer 2

its a super long answer thu

Answer 3

look at pascals triangle and look at the row of numbers: 1, 4, 6, 4, 1

Answer 4

those are the coefficients that will multiply with these terms:

(3x)^4*(y)^0

(3x)^3*(y)^1

(3x)^2*(y)^2

(3x)^1*(y)^3

(3x)^0*(y)^4

Answer 5

so you'll basically have

1*(3x)^4*(y)^0 + 4*(3x)^3*(y)^1 + 6*(3x)^2*(y)^2 + 4*(3x)^1*(y)^3 + 1*(3x)^0*(y)^4

simplify that to get your fully expanded answer