Question

What is the binomial expansion of (x + 2y)?

A) 2x + 14x^2y + 42x^3y^2 + 70x^4y^2 + 70x^5y + 42x^6y + 14x^7y + 2y
B) x + 14x^2y + 42x^3y^2 + 70x^4y^2 + 70x^5y + 42x^6y + 14x^7y + y
C) x + 7x^2y + 21x^3y^2 + 35x^4y^2 + 35x^5y + 21x^6y + 7x^7y + y
D) x + 14x^2y + 84x^3y^2 + 280x^4y^3 + 560x^5y^4 + 672x^6y + 448x^7y + 128y

Answer 1

The binomial expansion of (x + 2y) is x + 14x^2y + 42x^3y^2 + 70x^4y^2 + 70x^5y + 42x^6y + 14x^7y + 2y.

Step-by-step explanation:

The binomial expansion of (x + 2y) is:

x + 14x^2y + 42x^3y^2 + 70x^4y^2 + 70x^5y + 42x^6y + 14x^7y + 2y