Q:

Write the expression as a product of polynomials:a(p–q)+q–pp^2q+r^2–pqr–prPLZ ANSWER ASAP

Accepted Solution

A:
1. a(p–q)+q–pWe take out common factorTo change q - p as p - q we pull out -1So q - p becomes -1(p - q)a(p–q)+q–pa(p–q) -1(p - q)p -q is in common so we factor out p-q(p - q) (a - 1)2. p^2q+r^2–pqr–prWE change the order of terms [tex] p^2q-pqr+r^2-pr [/tex]We group first two terms and last two terms[tex] (p^2q-pqr)+(r^2-pr) [/tex]Now we factor out pq from first group and -r from second group[tex] pq(p-r) - r(p - r) [/tex][tex] (p - r) (pq - r) [/tex]