Factor 45-20y^2

Math
45-20y2
Factor 5 out of 45-20y2.
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Factor 5 out of 45.
5(9)-20y2
Factor 5 out of -20y2.
5(9)+5(-4y2)
Factor 5 out of 5(9)+5(-4y2).
5(9-4y2)
5(9-4y2)
Rewrite 9 as 32.
5(32-4y2)
Rewrite 4y2 as (2y)2.
5(32-(2y)2)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=3 and b=2y.
5((3+2y)(3-(2y)))
Factor.
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Multiply 2 by -1.
5((3+2y)(3-2y))
Remove unnecessary parentheses.
5(3+2y)(3-2y)
5(3+2y)(3-2y)
Factor 45-20y^2

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