Factor 80y^4-125y^2

Math
80y4-125y2
Factor 5y2 out of 80y4-125y2.
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Factor 5y2 out of 80y4.
5y2(16y2)-125y2
Factor 5y2 out of -125y2.
5y2(16y2)+5y2(-25)
Factor 5y2 out of 5y2(16y2)+5y2(-25).
5y2(16y2-25)
5y2(16y2-25)
Rewrite 16y2 as (4y)2.
5y2((4y)2-25)
Rewrite 25 as 52.
5y2((4y)2-52)
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=4y and b=5.
5y2((4y+5)(4y-5))
Remove unnecessary parentheses.
5y2(4y+5)(4y-5)
5y2(4y+5)(4y-5)
Factor 80y^4-125y^2

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