select the correct answer from each drop - down menu. when $p^{2}-4p$ is subtracted from $p^{2}+p - 6$, the…

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.

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.

Answer

Explanation:

Step1: Subtract the polynomials

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

Step2: Find the polynomial to subtract

Let the polynomial to subtract 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: $(5p - p)+(-6 + 9)=4p + 3$.

Answer:

First blank: $5p-6$; Second blank: $4p + 3$