SOLUTION: 162x^4-2y^4
how do i factor this? with work
Algebra.Com
Question 561358: 162x^4-2y^4
how do i factor this? with work
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
162x^4-2y^4
2(81x^4-y^4)
2((9x^2)^2-(y^2)^2)
2(9x^2-y^2)(9x^2+y^2)
2((3x)^2-y^2)(9x^2+y^2)
2(3x-y)(3x+y)(9x^2+y^2)
So 162x^4-2y^4 completely factors to 2(3x-y)(3x+y)(9x^2+y^2)
In other words, 162x^4-2y^4 = 2(3x-y)(3x+y)(9x^2+y^2)
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