Simplify (x+3)(x+2)

Problem

(x+3)*(x+2)

Solution

1. Apply the FOIL method to multiply the two binomials by distributing each term in the first set of parentheses to each term in the second.

2. Multiply the First terms x and x

x⋅x=x2

3. Multiply the Outer terms x and 2

x⋅2=2*x

4. Multiply the Inner terms 3 and x

3⋅x=3*x

5. Multiply the Last terms 3 and 2

3⋅2=6

6. Combine the terms into a single expression.

x2+2*x+3*x+6

7. Combine like terms by adding 2*x and 3*x

2*x+3*x=5*x

Final Answer

(x+3)*(x+2)=x2+5*x+6

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