Factor 18y^5-32y^3

Math
18y5-32y3
Factor 2y3 out of 18y5-32y3.
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Factor 2y3 out of 18y5.
2y3(9y2)-32y3
Factor 2y3 out of -32y3.
2y3(9y2)+2y3(-16)
Factor 2y3 out of 2y3(9y2)+2y3(-16).
2y3(9y2-16)
2y3(9y2-16)
Rewrite 9y2 as (3y)2.
2y3((3y)2-16)
Rewrite 16 as 42.
2y3((3y)2-42)
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=3y and b=4.
2y3((3y+4)(3y-4))
Remove unnecessary parentheses.
2y3(3y+4)(3y-4)
2y3(3y+4)(3y-4)
Factor 18y^5-32y^3

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