Simplify each rational expression by factoring each trinomial first

Question

Numerator: s^2+16s+48

Denominator: s^2+11s-12

Answer 1

S^2 +16S+48 divided by S^2 +11S-12

the numerator simplifies to (S+4)(S+12)

the denominator simplifies to (S-1)(S+12)

so the two factors common in the numerator and denominator (S+12) cancel out leaving us with

(S+4)/(S-1)