Answer: [tex]1,5,10,10,5,1[/tex]
Step-by-step explanation:
By definition, we know that:
[tex](a + b)^5 = a^5 + 5a^4b + 10a^3b^2 + 10a^2b^3 + 5ab^4 + b^5[/tex]
In this case we can identify that:
[tex]a=x\\b=y[/tex]
Then, we can expand the binomial:
[tex](x+y)^5 = x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5[/tex]
Since the a coefficient is the numerical value of a term, we can identify that the coefficients of the expansion are:
[tex]1,5,10,10,5,1[/tex]
