Question

Which expression represents the sixth term in the binomial expansion of (5y + 3)10?

Answer 1

this 10 i think wan being exponent - yes ?

Answer 2

what mean the 6th term ? how you get it ? what is the variable in this expression ?

Answer 3

Before even doing anything, you should know that since the power is 10, without the coefficients it would be \[(5y)^{10} + (5y)^9(3) + (5y^8)(3)^2+{ (5y)^7(3)^3}+(5y)^6(3)^4 + (5y)^5(3)^5 \\ (5y)^4(3)^6 + (5y)^3(3)^7+(5y)^2(3)^8+(5y)(3)^9+3^{10}\] And the 6th term is \[(5y)^5(3)^5\]

Answer 4

Then let's look at Pascal's Triangle

Answer 5

\[252(5y)^5(3)^5 \\ 252(3125y)(243) = 191362500y\]

Answer 6

That would be your last term^ if I"m right...