SOLUTION: Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring formula leads to the same answer.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring formula leads to the same answer.       Log On


   

Question 665703: Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring formula leads to the same answer.




Found 2 solutions by MathLover1, lynnlo:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%283x+%2B+2%29%283x+-+2%29
9x%5E2-6x%2B6x+-4
9x%5E2-cross%286x%29%2Bcross%286x%29+-4

9x%5E2-4...your answer

now recognize a particular factoring formula leads to the same answer
9x%5E2-4....9x%5E2 we can write as %283x%29%5E2 and 4 as 2%5E2
%283x%29%5E2-2%5E2....here we have the difference of two squares and we use the application of the formula
a%5E2+-+b%5E2+=+%28a%2Bb%29%28a-b%29
so, %283x+%2B+2%29%283x+-+2%29

Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
(3x+2)(3x-2)
(3x-2)(3x+2)=0
3x=2=0,3x+2=0
3x=2,3x+2=0
x-2/3,3x+2=0
x=2/3,3x=-2
x=2/3,x=-2/3