(x – 1)(x – 2)
x² – 3x + 2
To expand the expression (x – 1)(x – 2), we can use the FOIL method, which stands for First, Outer, Inner, Last:
First – multiply the first terms of each binomial:
(x) * (x) = x^2
Outer – multiply the outer terms of each binomial:
(x) * (-2) = -2x
Inner – multiply the inner terms of each binomial:
(-1) * (x) = -x
Last – multiply the last terms of each binomial:
(-1) * (-2) = 2
Now, sum up all the results we got from multiplying the terms:
x^2 – 2x – x + 2
Simplify the like terms:
x^2 – 3x + 2
Therefore, the expression (x – 1)(x – 2) can be expanded to x^2 – 3x + 2.
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