Question

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

Answer 1

Answer: 8

Step-by-step 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.