SOLUTION: Factor this polynomial: 4m^2-25

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Question 442167: Factor this polynomial:
4m^2-25
Found 2 solutions by ilana, josmiceli:
Answer by ilana(307) About Me  (Show Source):
You can put this solution on YOUR website!
This is the difference of 2 squares.
The general difference of squares equation is x^2-y^2=(x+y)(x-y).
In this case, the square root of 4m^2 is 2m and the square root of 25 is 5.
So 4m^2-25=(2m+5)(2m-5).

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+4m%5E2+-+25+
to find roots:
+4m%5E2+-+25+=+0+
+4m%5E2+=+25+
+m%5E2+=+25%2F4+
+m+=+5%2F2+
+m+=+-5%2F2+
(1) +m+-+5%2F2+=+0+
(2) m+%2B+5%2F2+=+0+
+%28m+-+5%2F2%29%2A%28m+%2B+5%2F2%29+=+4m%5E2+-+25+
also, from (1) and (2),
+2m+-5+=+0+
+2m+%2B+5+=+0+
+%282m+-+5%29%2A%282m+%2B+5%29+=+4m%5E2+-+25+