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Can you completely factor x32 - y32?

Updated: 4/28/2022
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Wiki User

8y ago

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General Schiller

Lvl 10
3y ago
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14y ago

x32-y32 factored is:

(x16+y16)*(x16-y16) which can be factored to:

(x16+y16)*(x8+y8)*(x8-y8) which can be factored to:

(x16+y16)*(x8+y8)*(x4+y4)*(x4-y4) which can be factored to:

(x16+y16)*(x8+y8)*(x4+y4)*(x2+y2)*(x2-y2) which can be factored to:

(x16+y16)*(x8+y8)*(x4+y4)*(x2+y2)*(x+y)*(x-y); completed.

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8y ago

(x - y)(x + y)(x^2 + y^2)(x^4 + y^4)(x^8 + y^8)(x^16 + y^16)

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Q: Can you completely factor x32 - y32?
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