Factor 48y^2-3x^4y^2

Math
48y2-3x4y2
Factor 3y2 out of 48y2-3x4y2.
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Factor 3y2 out of 48y2.
3y2(16)-3x4y2
Factor 3y2 out of -3x4y2.
3y2(16)+3y2(-x4)
Factor 3y2 out of 3y2(16)+3y2(-x4).
3y2(16-x4)
3y2(16-x4)
Rewrite 16 as 42.
3y2(42-x4)
Rewrite x4 as (x2)2.
3y2(42-(x2)2)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=4 and b=x2.
3y2((4+x2)(4-x2))
Factor.
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Simplify.
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Rewrite 4 as 22.
3y2((4+x2)(22-x2))
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=2 and b=x.
3y2((4+x2)((2+x)(2-x)))
Remove unnecessary parentheses.
3y2((4+x2)(2+x)(2-x))
3y2((4+x2)(2+x)(2-x))
3y2((4+x2)(2+x)(2-x))
Remove unnecessary parentheses.
3y2(4+x2)(2+x)(2-x)
3y2(4+x2)(2+x)(2-x)
Factor 48y^2-3x^4y^2

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