[tex]( {x}^{2} - x + 1) ^{2} = ( {x}^{2}) ^{2} + {x}^{2} + {1}^{2} + 2 \times {x}^{2} \times 1 - 2 \times {x}^{2} \times x - 2 \times x \times 1 = {x}^{4} + {x}^{2} + 1 + 2 \times {x}^{2} - 2 \times {x}^{3} - 2 \times x = {x}^{4} - 2 \times {x}^{3} + 3 \times {x}^{2} - 2 \times x + 1[/tex]
