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