Question

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

Answer 1

The answer is D. ax4y6
proof 

the binome of newton is   S a x^k y^n-k = (x+y)^n, for k=0...n
for n=10, it is   a y^10+...+  a x4 y^10-4 +...+ax^10

                     

Answer 2

Answer:

The terms in the expansion of $(x+y)^10$ are:

A. $ax^3y^7$

B. $ax^6y^4$

D. $ax^4y^6$

Step-by-step explanation:

The terms appearing in the expansion of $(x+y)^n$

are all those terms such that sum of powers of x and y equals n.

Hence, out of the given options the terms in the expansion of $(x+y)^10$ are:

A. $ax^3y^7$

B. $ax^6y^4$

D. $ax^4y^6$