Question

factorise (x-1)² - (x-2)²​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$(x - 1 {)}^{2} - (x - 2 {)}^{2} \\ = > {x}^{2} + {1}^{2} - 2x - ( {x}^{2} + {2}^{2} - 2 \times 2 \times x) \\ \\ = > {x}^{2} + 1 - 2x - ( {x}^{2} + 4 - 4x) \\ \\ = > {x}^{2} + 1 - 2x - {x}^{2} - 4 + 4x \\ \\ = > -3 + 2x \\ \\ = > 3 = 2x \\ \\ = > \frac{3}{2} = x$

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