Question 364087
From (x - 1)^2 subtract (x - 3)(x - 1) the result is:

The problem restated is:     (x – 1)² - (x – 3)(x – 1)
                                            
                             (x – 1)²=(x – 1)(x – 1) = x² - 2x + 1 and
				 
		             (x – 3)(x – 1) = x² - x – 3x + 3 = x² - 4x + 3

Therefore, we have            x² - 2x + 1 – (x² - 4x + 3) 

Don’t forget to distribute    x² - 2x + 1 - x² + 4x – 3 

Simplifying the expression, the x² and - x² cancel out

The -2x and + 4x gives us 2x

And finally, +1 and -3 is -2!

the expression simplifies to: 2x – 2

We have a common factor of 2:  2(x – 1)

The answer is A!

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