Question

If ( x + y )^3 is expanded, what is the sum of the numerical coefficients?​

Answer 1

Answer: 8

Explanation:

We know that ,
`(a+b)^3` can be written in expanded form as
`a^3+b^3+3a^2b+3ab^2`.

Similarly ,
`( x + y )^3` can be written in expanded form as
`x^3+y^3+3x^2y+3xy^2`.

The numerical coefficients are basically the constant multiplier in the variables in each term.

The numerical coefficient for term
`x^3`= 1

The numerical coefficient for term
`y^3`= 1

The numerical coefficient for term
`3x^2y`= 3

The numerical coefficient for term
`3xy^2`= 3

Then, the sum of the numerical coefficients =1+1+3+3 =8

Hence, the sum of the numerical coefficients is 8.