Factor -25+4y^2

Math
-25+4y2
Factor -1 out of -25+4y2.
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Reorder -25 and 4y2.
4y2-25
Factor -1 out of 4y2.
-(-4y2)-25
Rewrite -25 as -1(25).
-(-4y2)-1(25)
Factor -1 out of -(-4y2)-1(25).
-(-4y2+25)
-(-4y2+25)
Rewrite 25 as 52.
-(-4y2+52)
Rewrite 4y2 as (2y)2.
-(-(2y)2+52)
Reorder -(2y)2 and 52.
-(52-(2y)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=2y.
-((5+2y)(5-(2y)))
Factor.
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Multiply 2 by -1.
-((5+2y)(5-2y))
Remove unnecessary parentheses.
-(5+2y)(5-2y)
-(5+2y)(5-2y)
Factor -25+4y^2

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