Factor (z+2)^2-5(z+2)

Problem

(z+2)^2−5*(z+2)

Solution

1. Identify the common factor in both terms of the expression.

2. Recognize that the binomial (z+2) appears in both (z+2)^2 and −5*(z+2)

3. Factor out the greatest common factor, which is (z+2)

4. Simplify the remaining expression inside the brackets by combining like terms.

Final Answer

(z+2)^2−5*(z+2)=(z+2)*(z−3)

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