Simplify (x-1)(x-2)

Problem

(x−1)*(x−2)

Solution

1. Identify the expression as a product of two binomials that can be expanded using the FOIL method (First, Outer, Inner, Last).

2. Multiply the First terms: x⋅x=x2

3. Multiply the Outer terms: x⋅(−2)=−2*x

4. Multiply the Inner terms: (−1)⋅x=−x

5. Multiply the Last terms: (−1)⋅(−2)=2

6. Combine the results into a single expression: x2−2*x−x+2

7. Simplify by combining the like terms −2*x and −x −2*x−x=−3*x

Final Answer

(x−1)*(x−2)=x2−3*x+2

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