SOLUTION: Instructions: Perform the indicated operations. What is the solution for (2a-3y)(2a+3y)

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Question 62252: Instructions: Perform the indicated operations.
What is the solution for (2a-3y)(2a+3y)
Found 2 solutions by funmath, tutorcecilia:
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
What is the solution for (2a-3y)(2a+3y)

Distribute the 1st term in the 1st parentheses into the second parentheses, then the second term into the second parentheses.
2a(2a+3y)-3y(2a+3y)
(If your friends and teacher is calling this FOIL, it's because you are multiplying the First terms, then the Outer terms, then the Inner terms, and then the Last terms.)
2a(2a)+2a(3y)-3y(2a)-3y(3y)
4a%5E2%2B6ay-6ay-9y%5E2
Combine your like terms.
highlight%284a%5E2-9y%5E2%29
Note that this is a special thing, when the binomials are exactly the same but one is added and one is subtracted, it results in the difference of the squares of the terms: %28a%2Bb%29%28a-b%29=a%5E2-b%5E2
Happy Calculating!!!

Answer by tutorcecilia(2144) About Me  (Show Source):
You can put this solution on YOUR website!
(2a-3y)(2a+3y) [use the FOIL method to solve]
%284a%5E2%2B6ay-6ay-9y%5E2%29 [combine like-terms]
%284a%5E2-9y%5E2%29 [this is the produce of the difference of two squares]