Question

Anybody know the answer I need help. Please

Answer 1

`(p^2+9p+2)/(p^2-49)`

Explanation:

Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

`(5-p)/(49-p^2)+(p+1)/(p-7)=(p-5)/(p^2-49)+(p+1)/(p-7)\\\\=(p-5)/((p-7)(p+7))+(p+1)/(p-7)\cdot(p+7)/(p+7)\\\\=((p-5)+(p+1)(p+7))/((p-7)(p+7))=(p-5+p^2+8p+7)/(p^2-49)=(p^2+9p+2)/(p^2-49)`