Question

Which of the following terms appear in the expression of (x+y)^10? The letter a in each term represents a real constant.

Answer 1

The terms A, B, and D appear in the expansion.

The sum of the powers of the variables in each term should equal the power of the binomial.

A ) In
`ax^(3)y^(7)`, the sum of the powers, 3 + 7, equals 10.

B ) In
`ax^(4)y^(6)`, the sum of the powers, 4 + 6, equals 10.

D ) In
`ax^(6)y^(4)`, the sum of the powers, 6 + 4, equal 10.

C ) In
`ax^(5)`, the power, 5, does not equal 10, so it does not appear in the expansion.

Answer 2

A,B,D because the sum of the powers of variables in each term of the expansion is equal to the power the binomial is raised to.