Answer:
1) (p² + 9p + 18)/(p² + 4p + 3)
= ((p + 6)(p + 3))/((p + 1)(p + 3))
= (p + 6)/(p + 1)
The correct answer is B.
2) (x² + 13x + 36)/(x² + 17x + 72) ÷ (x² + 4x)/(x² + 11x + 24)
= ((x + 9)(x + 4)/(x + 8)(x + 9))((x + 3)(x + 8)/(x(x + 4))
= ((x + 9)(x + 4)(x + 3)(x + 8))/((x + 9)(x + 8)(x)(x + 4))
= (x + 3)/x
The correct answer is C.