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Factor completely y^4-81x^4
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1 vote
Factor completely y^4-81x^4

User Ericjam
by
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1 Answer

7 votes

y^4-81x^4=y^4-(3x)^4=(y^2-(3x)^2)(y^2+(3x)^2)=(y-3x)(y+3x)(y^2+9x^2)

Depending on the field over which you're factoring, you may also write the last factor as


y^2+9x^2=(y-3ix)(y+3ix)
User Ashutosh Sharma
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