Simplify 4x^2+20x+16

Problem

4*x2+20*x+16

Solution

1. Factor out the greatest common factor, which is 4

4*(x2+5*x+4)

2. Identify two numbers that multiply to 4 and add to 5

1⋅4=4

1+4=5

3. Factor the quadratic expression inside the parentheses using the identified numbers.

4*(x+1)*(x+4)

Final Answer

4*x2+20*x+16=4*(x+1)*(x+4)

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