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.
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].