Factor 49u^2-25v^2

Math
49u2-25v2
Rewrite 49u2 as (7u)2.
(7u)2-25v2
Rewrite 25v2 as (5v)2.
(7u)2-(5v)2
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=7u and b=5v.
(7u+5v)(7u-(5v))
Multiply 5 by -1.
(7u+5v)(7u-5v)
Factor 49u^2-25v^2

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