Question

factorize x
${x }^{2} - 2x + 4$

Answer 1

${x}^{2} - 2x + 4 \\ adding \: ans \: subtracting \: 1 \\ {x}^{2} - 2x + 4 + (1 - 1) \\ ({x}^{2} - 2x + 1) + 3 \\ {(x - 1)}^{2} + { (\sqrt{3} )}^{2} \\ use \: this \: property \\ {x}^{2} + {y}^{2} + 2xy = {(x + y)}^{2} \\ so \\ \: {(x - 1)}^{2} + { (\sqrt{3} )}^{2} = {(x - 1 + \sqrt{3}) }^{2} + 2(x - 1)( \sqrt{3} )$