Question

FACTORISE :-

x^2 - 4x + 5

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Answer 1

(x-5 ) (x+1) is answer

Answer 2

${x}^{2} - 4x + 5 \\ \\ {x}^{2} - (2 + i)x - (2 - i)x + (2 + i)(2 - i) \\ \\ x(x - 2 - i) - (2 - i)(x - 2 - i) \\ \\ (x - 2) + i(x - 2 - i)$

$i = \sqrt{ - 1}$

$(2 - i)(2 + i) \\ \\ = 2(2 + i) - i(2 + i) \\ \\ = 4 + 2i - 2i - {i}^{2} \\ \\ = 4 - ( - 1) \\ \\ = 4 + 1 \\ \\ = 5$

hope it helps