Question

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

10C5(5y)5(3)5
10C6(5y)4(3)6
510C5(y)5(3)5
510C6(y)4(3)6

Answer 1

A on edge

Explanation:

Answer 2

B. 10C6(5y)^4(3)^6

Explanation:

The general binomial expansion formula is expressed using the formula:

(x+y)ⁿ = nCr x^{n-r}y^r

Given the equation (5y+3)^10

To get the sixth term of the expansion, we will compare the general formula given with the question

On comparison, x = 5y y = 3 and n = 10. Since we need the sixth term of the sequence, r will be equal to 6 i.e r = 6

Substitute the variables into the binomial formula above to get the sixth term.

(5y+3)^10 = 10C6 (5y)^10-6 (3)6

(5y+3)^10 = 10C6(5y)^4(3)^6

Hence the sixth term in the binomial expansion is 10C6(5y)^4(3)^6