When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6 To get p – 9, subtract
Accepted Solution
A:
[tex] (p^{2} + p - 6) - (x) = p - 9
[/tex] is what is asked.
So all you need to do is a value that will result to p - 9.
x = [tex] (p^{2} + p - 6) - p + 9 [/tex] To isolate x we just transpose the values from the other side of the equation and do the opposite operation.
Combine like terms and just copy the terms that do not have similar expressions:
p will cancel out because p - p = 0 -6 and + 9 will come together because they are like terms: -6 + 9 = 3 [tex] p^{2} [/tex] does not have a pair so it will remain as is. you will be left with:
[tex] p^{2} + 3[/tex]
Let us check:
[tex]p^{2} + p - 6[/tex] - [tex]p^{2} + 0 + 3 [/tex] ---------------------------- [tex]0 + p - 9[/tex] or [tex]p -9[/tex]