Question

Simplificando a expressão 4-(p+2)²/9-(p+3)²,obtém-se:
a) p+2/p+3
b)2/3
c)2-p/3-p
d)p+4/p+6
e)4-p/6-p

Answer 1

4-(p+2)²/9-(p+3)²=
=4-(p²+4p+4)/9-(p²+6p+9)
=4-p²-4p-4/9-p²-6p-9
=-p²-4p/-p²-6p
=-p(p+4)/-p(p+6)
=p+4/p+6

Alternativa "d"