Question

Which of the following statements regarding the expansion of (x + y)" arecorrect?A. For any term xay in the expansion, a-b= n.B. For any term xay in the expansion, a + b = 'nc. The coefficients of x" - 1 and yn - ? both equal 1.D. The coefficients of X" and y both equal 1.

Answer 1

Answer:

• For any term (x^a)(y^b), a+b=n

,

• The coefficients of x^n and y^n both equal 1.

Explanation:

In the expansion of the expression:

$(x+y)^n$

For any term (x^a)(y^b) in the expansion, the sum of the exponents, a+b must be equal to n.

$a+b=n$

Similarly, the coefficients of x^n and y^n both equal 1.