Answer:
C. (x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5
Explanation:
(x+y)^5=1. (y)^(5-0). x^0 + 5. y^(5-1). x^1 + 10. y^(5-2).x^2 + 10. y^(5 -3).x^3 + 5.y^(5 -4). x^4 + 1. y^(5-5).x^5
Anything power zero is 1. We used combination to find the coefficient of each term.
= y^5 + 5.y^4.x + 10.y^3.x^2 +10.y^2.x^3 + 5y.x^4+ x^5
This can be written as follows
=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5
Answer: C. (x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5
Hope this will helpful.
Thank you.