FACTORIZATION 4

Factorize completely cq + cr - nr - n².  

Solution

= cn + cr - nr - n².

= (cn + cr) – (nr - n²).      [Grouping the factors]

= c(n + r) - n(r + n).

 = (n + r)(c - n).

  Hence cn + cr - nr - n². =  (n + r)((c - n).    

TRY THIS..................

NECTA 1995 QN. 20a

Factorize completely pq + pr - rq - q².