Question

select the correct answer from each drop - down menu. when $p^{2}-4p$ is subtracted from $p^{2}+p - 6$, the result is. to get $p - 9$, subtract from this result.

Explanation:

Step1: Subtract the polynomials

$(p^{2}+p - 6)-(p^{2}-4p)=p^{2}+p - 6 - p^{2}+4p$
Combining like - terms: $(p^{2}-p^{2})+(p + 4p)-6=5p-6$

Step2: Let the number to be subtracted be $x$.

We know that $(5p - 6)-x=p - 9$. Then $x=(5p - 6)-(p - 9)$.
Expand: $x=5p-6 - p + 9$.
Combine like - terms: $x=(5p - p)+(-6 + 9)=4p + 3$

Answer:

The first result is $5p-6$, and the number to subtract to get $p - 9$ is $4p + 3$