Question

(p+q)(p²-q²)+(p-q) (p²+q²)
Please explain step by step

Answer 1

Answer:

(p+q)(p²-q²) +(p- q)(p²+q²)

=(p³-pq²+p²q- q³) + (p³+pq²- p²q- q³)

=p³-pq²+p²q- q³+p³+pq²-p²q- q³

=p³+p³-q³-q³-pq²+pq²-p²q+p²q

=2p³-2q³

=2(p³-q³)