factorise x⁴+x³+x+1
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x⁴+ x³+ x+1
x³( x+ 1) +1(x+1)
(x+1)(x³+1) ( using the identity a³+b³ = (a+b)(a²-ab+ b²))
(x+1)((x+1)(x²+1-x)
(x+1)(x²- x +1)
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