What is the least common denominator of the expression below? x^2 + 6 / x^2 + 4x − 12+ 7x /x^2+ 7x + 6

Use the quadratic formula or the AC Method. You have to first find factors of -12 that add up to 4, so: 6 & -2. Plug it in as x^2+6x-2x-12. then group them into two terms: (x^2+6x)(-2x-12). Simplify each: x(x+6)-2(x+6) which becomes (x-2)(x+6). For the second fraction, do the same as you did with the first fraction. after that, you shod have (x+1) for the second fraction. Since eyou need both fractions to have a common denominator, multiply the first fraction by (x+1) and the second by (x-2)(x+6). Therefore, it is the third answer.