Factor 2y^4-98x^2y^2

Math
2y4-98x2y2
Factor 2y2 out of 2y4-98x2y2.
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Factor 2y2 out of 2y4.
2y2(y2)-98x2y2
Factor 2y2 out of -98x2y2.
2y2(y2)+2y2(-49×2)
Factor 2y2 out of 2y2(y2)+2y2(-49×2).
2y2(y2-49×2)
2y2(y2-49×2)
Rewrite 49×2 as (7x)2.
2y2(y2-(7x)2)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=y and b=7x.
2y2((y+7x)(y-(7x)))
Factor.
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Multiply 7 by -1.
2y2((y+7x)(y-7x))
Remove unnecessary parentheses.
2y2(y+7x)(y-7x)
2y2(y+7x)(y-7x)
Factor 2y^4-98x^2y^2

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