SOLUTION: Hi tutor, Can u help me factor the following: a^2-b^2+25+10a 2m^2+10m+10n-2n^2 THANKS.

Algebra ->  Test -> SOLUTION: Hi tutor, Can u help me factor the following: a^2-b^2+25+10a 2m^2+10m+10n-2n^2 THANKS.      Log On


   

Question 791355: Hi tutor,
Can u help me factor the following:
a^2-b^2+25+10a
2m^2+10m+10n-2n^2
THANKS.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started

a%5E2-b%5E2%2B25%2B10a

a%5E2%2B10a-b%5E2%2B25

a%5E2%2B10a%2B25-b%5E2

%28a%5E2%2B10a%2B25%29-b%5E2

%28a%2B5%29%5E2-b%5E2 Note: using the perfect square factoring rule

%28a%2B5-b%29%28a%2B5%2Bb%29 Note: using the difference of squares factoring rule

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So a%5E2-b%5E2%2B25%2B10a factors to %28a%2B5-b%29%28a%2B5%2Bb%29

In other words, a%5E2-b%5E2%2B25%2B10a=%28a%2B5-b%29%28a%2B5%2Bb%29