Question

Find the difference of the following polynomials: (-2r4 + 3r3 - 10) and (4r4 - p3 + 2r2 + 7).

Answer 1

$-6 r^{4}+4 r^{3}-2 r^{2}-17$ is the difference between $-2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7$

Step-by-step explanation:

Given equations,

$-2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7$

Difference of the polynomial is written as

$=-2 r^{4}+3 r^{3}-20-\left(4 r^{4}-p^{3}+2 r^{2}+7\right)$

Open the brackets and multiply with -1 the whole expression $\left(4 r^{4}-p^{3}+2 r^{2}+7\right)$ becomes

$=-2 r^{4}+3 r^{3}-20-4 r^{4}+p^{3}-2 r^{2}-7$

$=-6 r^{4}+4 r^{3}-2 r^{2}-17$

This is the difference of given two polynomials is $-6 r^{4}+4 r^{3}-2 r^{2}-17$.