SOLUTION: you do not have the topic that is appropriate for my question. Ill just type it anyway with the incorrect topic. I am having trouble with a section in my textbook called 10.4 and

Algebra ->  Surface-area -> SOLUTION: you do not have the topic that is appropriate for my question. Ill just type it anyway with the incorrect topic. I am having trouble with a section in my textbook called 10.4 and      Log On


   



Question 41574: you do not have the topic that is appropriate for my question. Ill just type it anyway with the incorrect topic. I am having trouble with a section in my textbook called 10.4 and the title is "Factoring: Special Products" I am having trouble with questions like this one. Factor the expression: 9x^2-30xy+25y^2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, you'll notice that the first and last terms of your expression are perfect squares:
9x%5E2+=+%283x%29%5E2 and 25y%5E2+=+%285y%29%5E2
Using this fact as a clue, and since you know that: %28A%2BB%29%5E2+=+A%5E2+%2B+2AB+%2B+B%5E2 you might try:
%283x+%2B+5y%29%5E2 as factors.
Check using FOIL.
%283x%2B5y%29%283x%2B5y%29+=+9x%5E2+%2B+15xy+%2B+15xy+%2B+25y%5E2 Simplify:
9x%5E2+%2B+30xy+%2B+25y%5E2
So the factors of: 9x%5E2+%2B+30xy+%2B+25y%5E2+=+%283x+%2B+5y%29%283x+%2B+5y%29