This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
(x-1)(x-3) $$
Here are the solutions to the questions:
I.ii. One of the Factor of the expression is: Step 1: Factor the quadratic expression . We need two numbers that multiply to and add to . These numbers are and .
I.iii. The HCF of the algebraic expressions & is:
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I.ii. One of the Factor of the expression x^2-4x+3 is: Step 1: Factor the quadratic expression x^2-4x+3.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.