Find the H.C.F of (x^4-x) and (x^2+x+1).

Aakash Shah

3 years ago

Find the H.C.F of x⁴ -x and x² + x + 1

1 Answer

Aakash Shah

3 years ago

Here,

First expression = \(x^4-x\)

=\(x(x^3-1)\)

=\(x(x^3-1^3)\)

=\(x(x-1)\;(x^2+x+1)\)

Second expression = \(x^2+x+1\)

Therefore, \(H.C.F. = x^2+x+1\)

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