145k views
1 vote
Which of the following terms appear in the expansion of (x+y)^10? The letter "a" in each term represents a real constant.

Choices are:
ax^4y^6
ax^5
ax^3y^7
ax^6y^4
Can be multiple

User Jicaar
by
5.8k points

2 Answers

4 votes

Answer:All of them except for ax^5

Explanation:

You add what it’s being squared too and if it equals ten then it’s correct since we’re trying to find (x+y)^10

User Lahiru Prasanna
by
5.2k points
2 votes

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

User Lampapos
by
6.1k points