Question

How many terms are in the expansion (x + y)10?

Answer 1

there is x and y so I guess two

Answer 2

regardless if you foil out 10 you still have an x and y

Answer 3

is it (x+y)^10

Answer 4

No I'm pretty sure it's 12 because you add the 2 terms to 10

Answer 5

no

Answer 6

(x+y)^2 = x^2+2xy+y^2 <--- there are 3 terms here

(x+y)^3 = x^3 + 3x^2y+3xy^2 + y^3 <--- there are 4 terms here

(x+y)^4 = x^4+4x^3y + 6x^2y^2 + 4xy^3 + y^4 <--- there are 5 terms here


etc etc

See the pattern?