Simplify (x-1)(x-1)

Problem

(x−1)*(x−1)

Solution

1. Identify the expression as a binomial squared, which can be written in the form (a−b)2

2. Apply the FOIL method (First, Outer, Inner, Last) to multiply the two binomials.

3. Multiply the First terms: x⋅x=x2

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

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

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

7. Combine like terms by adding −x and −x to get −2*x

Final Answer

(x−1)*(x−1)=x2−2*x+1

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