Simplify (x+3)^2

Problem

(x+3)2

Solution

1. Identify the expression as a binomial squared, which follows the pattern (a+b)2=a2+2*a*b+b2

2. Expand the expression by multiplying the binomial by itself: (x+3)*(x+3)

3. Apply the FOIL method (First, Outer, Inner, Last) to multiply the terms.

4. Multiply the First terms: x⋅x=x2

5. Multiply the Outer terms: x⋅3=3*x

6. Multiply the Inner terms: 3⋅x=3*x

7. Multiply the Last terms: 3⋅3=9

8. Combine the like terms 3*x and 3*x to get 6*x

Final Answer

(x+3)2=x2+6*x+9

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