SOLUTION: Choose best answer. thanks! 36y^2-25 A.) (6y+5)(6y-5) B.) (x-3)(x+1) C.) (x+3)(x+9) d.) prime

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Choose best answer. thanks! 36y^2-25 A.) (6y+5)(6y-5) B.) (x-3)(x+1) C.) (x+3)(x+9) d.) prime       Log On


   

Question 74321: Choose best answer. thanks!
36y^2-25
A.) (6y+5)(6y-5) B.) (x-3)(x+1)
C.) (x+3)(x+9) d.) prime
Found 2 solutions by checkley75, jim_thompson5910:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
36y^2-25
(6x+5)(6x-5)
answer A).

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Notice how we are dealing with perfect squares here. So the equation factors to
%286y%2B5%29%286y-5%29 which foils back to
%286y%2B5%29%286y-5%29=6y%2A6y%2Bcross%286y%2A5-6y%2A5%29-5%2A5=36y%5E2-25
In a more general sense
x%5E2-y%5E2 factors to %28x%2By%29%28x-y%29 or in other words
x%5E2-y%5E2=%28x%2By%29%28x-y%29 which is the difference of squares where x=6 and y=5
So the answer is a).
Hope this will help you with further difference of squares problems.