Question

4) Simplify (p+q)- (p-q)2 + p2q2​

Answer 1

Answer: 2(p³-q³)

Step-by-step explanation: (p+q)(p²-q²)+(p-q)(p²+q²)

= (p+q)(p+q)(p-q)+(p-q)(p²+q²)

x²-y² = (x+y)(x-y) */

= (p-q)[(p+q)²+(p²+q²)]

= (p-q)[p²+2pq+q²+p²+q²]

= (p-q)(2p²+2pq+2q²)

= 2(p-q)(p²+pq+q²)

= 2(p³-q³)