Answer:
When [tex] p^2 - 4p [/tex] is subtracted from [tex] p^2 + p - 6 [/tex], the result is [tex] 5p - 6 [/tex]. To get [tex] p - 9 [/tex], subtract [tex] 4p + 3 [/tex] from the result.
Step-by-step explanation:
✔️Subtracting [tex] p^2 - 4p [/tex] from [tex] p^2 + p - 6 [/tex]:
[tex] (p^2 + p - 6) - (p^2 - 4p) [/tex]
[tex] p^2 + p - 6 - p^2 + 4p [/tex] (Distributive property)
Collect like terms
[tex] p^2 - p^2 + p + 4p - 6 [/tex]
[tex] 5p - 6 [/tex]
✔️Subtracting [tex] p - 9 [/tex] from [tex] 5p - 6 [/tex]:
[tex] (5p - 6) - (p - 9) [/tex]
[tex] 5p - 6 - p + 9 [/tex] (distributive property)
Add like terms
[tex] 4p + 3 [/tex]
