Respuesta :

When dealing with the subtraction of polynomials, only the coefficients with similar variables can be subtracted. Assuming the two polynomials are p^2 + p - 6 and p^2 - 4p, the subtraction is shown below:
   
   p^2 + p - 6
-  p^2 - 4p
------------------
          +5p - 6

Therefore, the difference would be 5p - 6.


Answer:

The resultant expression  is [tex]5p-6[/tex].

Step-by-step explanation:

The given expressions are

[tex]p^2-4p[/tex]              .... (1)

[tex]p^2+p-6[/tex]           ..... (2)

Subtract expression (1) from expression (2),

[tex]p^2+p-6-(p^2-4p)[/tex]

[tex]p^2+p-6-p^2+4p[/tex]

Combine like terms.

[tex](p^2-p^2)+(p+4p)-6[/tex]

[tex]0+5p-6[/tex]

[tex]5p-6[/tex]

Therefore, the resultant expression  is [tex]5p-6[/tex].

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