Factor 25m^2-4m^6

Math
25m2-4m6
Factor m2 out of 25m2-4m6.
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Factor m2 out of 25m2.
m2⋅25-4m6
Factor m2 out of -4m6.
m2⋅25+m2(-4m4)
Factor m2 out of m2⋅25+m2(-4m4).
m2(25-4m4)
m2(25-4m4)
Rewrite 25 as 52.
m2(52-4m4)
Rewrite 4m4 as (2m2)2.
m2(52-(2m2)2)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=5 and b=2m2.
m2((5+2m2)(5-(2m2)))
Factor.
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Multiply 2 by -1.
m2((5+2m2)(5-2m2))
Remove unnecessary parentheses.
m2(5+2m2)(5-2m2)
m2(5+2m2)(5-2m2)
Factor 25m^2-4m^6

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