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What are the factors of x2 - y4?

Updated: 4/28/2022
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13y ago

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Ryan Lindgren

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3y ago
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13y ago

x2-y4 is a difference of squares, so it factors to (x+y2)(x-y2).

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Q: What are the factors of x2 - y4?
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How can you do x4-y4?

(x2 + y2)(x + y)(x - y) = x4 - y4.


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sqrt(100x4y4) = sqrt(100)*sqrt(x4)*sqrt(y4) = 10*x2*y2


X2 plus y4 plus x4 plus y2?

x2 + y4 + x4 +y2 = x6 + y6unless you know what x and y are.* * * * *x2 + y4 + x4 + y2 ??I don't believe that this expression can be factorised or otherwise simplified.It certainly does not equal x6 + y6,for all x and all y:for example, if x = y = 1, thenx2 + y4 + x4 + y2 = 4, whilstx6 + y6 = 2;thus, they are two manifestly unequal quantities.


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(x + y)2 = x2 + 2xy + y2 So x2 + y2 = (x + y)2 - 2xy = a2 - 2b Then (x2 + y2)2 = x4 + 2x2y2 + y4 So x4 + y4 = (x2 + y2)2 - 2x2y2 = (a2 - 2b)2 - 2b2 = a4 - 4a2b + 4b2 - 2b2 = a4 - 4a2b + 2b2


Factor completely 32y4 -2x4 y4?

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Factors of x5 . . . 1, x, x2, x3, x4, and x5, as well as any factors of 'x', and their powers. Factors of y5 . . . 1, y, y2, y3, y4, and y5, as well as any factors of 'y', and their powers.


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Are the factors of x2 are x and x plus 1?

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