Question

Which of the following terms appear in the expansion of (x + y)10? The letter a in each term represents a real constant. A. ax3y7 B. ay5 C. ax5 D. ax5y

Answer 1

ax^5 y^5 and ax^3y^7

Explanation:

Answer 2

The correct option is:

A.
`ax^3y^7`

Explanation:

We are asked which term would appear in the expansion of:

`(x+y)^(10)`

Clearly all the terms of this expansion will have the sum of powers of x and y =10

In our given options the sum of powers of x and y are:

A.
`ax^3y^7` sum of powers=3+7=10

B.
`ay^5` sum of powers=5

C.
`ax^5` sum of powers=5

D.
`ax^5y` sum of powers=5+1=6

Hence, the correct option is:

A.
`ax^3y^7`