Question

Which of the following terms appear in the expansion of (x+y)^8? The letter a in each term represents a real constant.

A. ay^4 b. ax^4y^4 c. ax^4 d. ax^3y^5?

The correct answer is D. B.

Answer 1

The given expression is

`(x+y)^8`

The exponent of x is decreasing and y in increasing .

That is ,

`a x^8 + b x^7y+ c x^6y^2 + d x^5 y ^3 + e x^4 y^4 + f x^3 y^5 + g x^2 y^6 +h x y^7 + i y^8`

Where a,b,c,d,e,f,g,h,i are th constants

So the correct options are b and d .