[tex]-6 r^{4}+4 r^{3}-2 r^{2}-17[/tex] is the difference between [tex]-2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7[/tex]
Step-by-step explanation:
Given equations,
[tex]-2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7[/tex]
Difference of the polynomial is written as
[tex]=-2 r^{4}+3 r^{3}-20-\left(4 r^{4}-p^{3}+2 r^{2}+7\right)[/tex]
Open the brackets and multiply with -1 the whole expression [tex]\left(4 r^{4}-p^{3}+2 r^{2}+7\right)[/tex] becomes
[tex]=-2 r^{4}+3 r^{3}-20-4 r^{4}+p^{3}-2 r^{2}-7[/tex]
[tex]=-6 r^{4}+4 r^{3}-2 r^{2}-17[/tex]
This is the difference of given two polynomials is [tex]-6 r^{4}+4 r^{3}-2 r^{2}-17[/tex].
