Use factoring to simplify the following

X^2+7x+12

Answer is (x+4) (x+3)

How do I do the steps

X^2 + 7x + 12

Steps

First, break the expression into groups

= (x^2 + 3x) + (4x + 12)

Factor out x from x^2 + 3x: x (x + 3)

Factor out 4 from 4x + 12: 4 (x + 3)

= x (x + 3) + 4 (x + 3)

Then, factor out the common term (x + 3)

= (x + 3) (x + 4)