Factor 4z^2-81y^2

Math
4z2-81y2
Rewrite 4z2 as (2z)2.
(2z)2-81y2
Rewrite 81y2 as (9y)2.
(2z)2-(9y)2
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=2z and b=9y.
(2z+9y)(2z-(9y))
Multiply 9 by -1.
(2z+9y)(2z-9y)
Factor 4z^2-81y^2

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