Which expression represents the sixth term in the binomial expansion of open paren 5 y plus 3 close paren to the 10th power ?
Answer
A
5 sub 10 cap c sub 6 y to the 4th power 3 to the 6th power
B
10 cap c sub 6 5 y to the 4th power 3 to the 6th power
C
5 sub 10 cap c sub 5 y to the 5th power 3 to the 5th power
D
10 cap c sub 5 5 y to the 5th power 3 to the 5th power
Explanation
For (5y + 3)^10, the sixth term uses r = 5 in the binomial expansion: C(10, 5)(5y)^5(3)^5. This is C(10, 5)·5^5·y^5·3^5, which matches choice D’s fifth-power term.
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