Factorize each of the following algebraic expressions:
25 – p2 – q2 – 2pq
Given,
= 25 – (p2 + q2 + 2pq)
= (5)2 – (p + q)2 (5 + p + q) (5 –p – q)
= -(p + q + 5) (p + q – 5)