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

ANSWER

$ax^4y^6$

$ax^3y^7$

$ax^6y^4$

EXPLANATION.

The given binomial is

$( {x + y)}^{10}$

One property about all the terms in this binomial expansion is that:

The degree of each term is 10.

$ax^4y^6$

degree=4+6=10

$ax^3y^7$

degree=3+7=10

$ax^6y^4$

degree=6+4=10

$ax^5$

degree=5+0=5

All the terms with degree 10 are the correct options