Question

# (p²qr + pq²r + pqr²)(-pq + qr - pr) Please solve this problem as soon as possible.

Answer

The expression is −p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3. Step-by-step explanation: 1. Factor out common terms: (p2qr+pq2r+pqr2)((−p)(q)+qr+−pr) 2. Distribute the first factor into the second: (p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr) 3. Simplify by combining like terms: −p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3 4. Combine similar terms again to arrive at the −p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3.