SOLUTION: From (x - 1)^2 subtract (x - 3)(x - 1) the result is (A) 2(x - 1) (B) - 2(x - 1) (C) 4(x - 1) (D) - 4(x - 1) (E) x(x - 1)

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Question 364087: From (x - 1)^2 subtract (x - 3)(x - 1) the result is
(A) 2(x - 1) (B) - 2(x - 1) (C) 4(x - 1) (D) - 4(x - 1) (E) x(x - 1)

Answer by Mr.positive(13)   (Show Source): You can put this solution on YOUR website!
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!
mathteacher2010@aol.com

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