Simplify (x-4)(x-4)

Problem

(x−4)*(x−4)

Solution

1. Identify the expression as the square of a binomial, which can be written as (x−4)2

2. Apply the FOIL method to multiply the two binomials by calculating the product of the First, Outer, Inner, and Last terms.

3. Multiply the terms: x⋅x=x2 x⋅(−4)=−4*x −4⋅x=−4*x and −4⋅(−4)=16

4. Combine like terms by adding −4*x and −4*x to get −8*x

Final Answer

(x−4)*(x−4)=x2−8*x+16

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