Question

what is the long division of x^4-1 by x-1 ?

Answer 1

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Answer 2

$\red{(x^{4} - 1)\: by \: (x-1) }$

x-1|x⁴+0+0+0-1|x³+x²+x+1

*** x⁴ -x³

__________

***** x³+0

***** x³-x²

__________

****** x²+0

****** x²-x

__________

******** x - 1

******** x - 1

__________

******** (0)

Therefore.,

$\red{(x^{4} - 1)\: by \: (x-1)}$

$\green { = x^{3}+x^{2}+x+1}$

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