SOLUTION: How do you factor an expression when the last constant is more than one number greater than the middle constant? as in 16m(sq)-24mn+9n(sq)

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Question 24601: How do you factor an expression when the last constant is more than one number greater than the middle constant? as in 16m(sq)-24mn+9n(sq)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can start by trying this:
Factor:
16m%5E2+-+24mn+%2B+9n%5E2 Notice that the first term and the last term are perfect squares, so try taking the square root of these as factors:
%284m+-+3n%29%284m+-+3n%29 Use FOIL to check:
%284m+-+3n%29%284m+-+3n%29+=+16m%5E2+-+12mn+-+12mn+%2B+9n%5E2 = 16m%5E2+-+24mn+%2B+9n%5E2
The answer is:
%284m+-+3n%29%5E2