SOLUTION: Please help? Im a little confused with this question. Determine the number of terms in the product of (x+y) and (a+b+c+d) without doing the multiplication. explain how you arriv

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help? Im a little confused with this question. Determine the number of terms in the product of (x+y) and (a+b+c+d) without doing the multiplication. explain how you arriv      Log On


   



Question 650783: Please help? Im a little confused with this question.
Determine the number of terms in the product of (x+y) and (a+b+c+d) without doing the multiplication. explain how you arrived at your answer.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Multiplying would require applying the distributive property, twice.
The result is the sum of all the possible products of a term from (x+y) times a term from (a+b+c+d). All those terems are different, so there will be no repeat products (For example, ax will appear only once in that sum).
Because there are 2 choices for the term from (x+y) and 4 choices for the term from (a+b+c+d), the number of possible products is
2%2A4=highlight%288%29.