Factorize: p3+q3+p+q


Answer:

(p+q)(p2pq+q2+1)

Step by Step Explanation:
  1. We know that (a3+b3)=(a+b)(a2ab+b2) Thus p3+q3+p+q= (p3+q3)+(p+q)= (p+q)(p2pq+q2)+(p+q)= (p+q)(p2pq+q2+1)
  2. Hence, p3+q3+p+q=(p+q)(p2pq+q2+1).

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