Factor x^2+3x+2x+6

Problem

x2+3*x+2*x+6

Solution

1. Group the terms into two pairs to prepare for factoring by grouping.

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

2. Factor out the greatest common factor from the first pair, which is x

x*(x+3)+(2*x+6)

3. Factor out the greatest common factor from the second pair, which is 2

x*(x+3)+2*(x+3)

4. Identify the common binomial factor (x+3) and factor it out from the entire expression.

(x+3)*(x+2)

Final Answer

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

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