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)
Dont 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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