SOLUTION: Can you show me how to factor this problem? 18t(squared)-128 Thank you

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Question 134791This question is from textbook Algebra I, workbook
: Can you show me how to factor this problem?
18t(squared)-128
Thank you This question is from textbook Algebra I, workbook

Found 2 solutions by solver91311, Earlsdon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
18t%5E2-128

Take out a factor of 2:
2%289t%5E2-64%29

9t%5E2-64 is the difference of two squares that factors to %283t%2B8%29%283t-8%29 so the entire factorization is:

2%283t%2B8%29%283t-8%29

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
18t%5E2-128 First, factor a 2.
2%289t%5E2-64%29 Now you can see that the paretheses contain the difference of two squares (%283t%29%5E2-%288%29%5E2) which is factored like this:
A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29, so...
2%289t%5E2-64%29+=+2%283t%2B8%29%283t-8%29