Question

what must be subtracted from p5+p4+p3+p2+p+1to get p5 +1​

Answer 1

Answer:

p4+p3+p2+p should be substract

Answer 2

$\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}$ must be subtracted from $\mathrm{p}^{5}+\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}+1$ to get $p^{5}+1$

Solution:

We need to determine what must be subtracted from $\mathrm{p}^{5}+\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}+1$ to get $\mathrm{p}^{5}+1$

Let’s assume x must be subtracted from $\mathrm{p}^{5}+\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}+1 \text { to get } \mathrm{p}^{5}+1$

$\begin{array}{l}{=>\mathrm{p}^{5}+\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}+1-\mathrm{x}=\mathrm{p}^{5}+1} \\ {=>\mathrm{p}^{5}+\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}+1-\left(\mathrm{p}^{5}+1\right)=\mathrm{x}} \\ {=>\mathrm{x}=\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}}\end{array}$

Hence $\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}$ must be subtracted from $\mathrm{p}^{5}+\mathrm{p}^{4}+\mathrm{p}^{3}+\mathrm{p}^{2}+\mathrm{p}+1$ to get $p^{5}+1$