Question

Which set of coefficients of the terms in the expansion of the binomial (x + y)^3 is correct?

1, 3, 3, 1
1, 4, 4, 1
1, 2, 2, 1
1, 5, 5, 1

Answer 1

a

Explanation:

Answer 2

The answer is 1 3 3 1

The coefficients of the expanded terms are a combination; 4C1 , 4C2, 4C3, 4C4 multiplied by the x, y coefficients in the parenthesis. Since x, y coefficients in parenthesis is 1 the expanded coefficients are just the combinations.


4C1 = 1
4C2 = 3
4C3 = 3
4C4 = 1


`(x+y)^(3) = 1*x^(3) y^(0) + 3*x^(2) y^(1) + 3*x^(1) y^(2) + 1*x^(0) y^(3)`