Simplify (x+2)(x+2)

Problem

(x+2)*(x+2)

Solution

1. Identify the expression as a binomial squared, which can be written as (x+2)2

2. Apply the FOIL method by multiplying the First terms, Outer terms, Inner terms, and Last terms.

3. Multiply the First terms: x⋅x=x2

4. Multiply the Outer terms: x⋅2=2*x

5. Multiply the Inner terms: 2⋅x=2*x

6. Multiply the Last terms: 2⋅2=4

7. Combine the terms into a single expression: x2+2*x+2*x+4

8. Simplify by combining the like terms 2*x and 2*x

Final Answer

(x+2)*(x+2)=x2+4*x+4

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