Answer:
First question :
Here, the given problem,
[tex]p^2+p-6-(p^2-4p)[/tex]
[tex]=p^2+p-6-p^2+4p[/tex]
[tex]=p^2(1-1)+p(1+4)-6[/tex]
[tex]=5p-6[/tex]
Thus, the result is 5p -6.
Second question:
Let to get p-9 we need to subtract X from 5p-6,
I.e.
[tex]5p-6-X = p - 9[/tex]
[tex]5p-6-p+9=X[/tex]
[tex]\implies X = 4p + 3[/tex]
Thus, the result would be 4p + 3.