FACTORIZE - 1

Factorize completely aq + ar - qr - q².  

Solution

= an + ar - nr - n².

= (an + ar) – (nr - n²).      [Grouping the factors]

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

 = (n + r)(a - n).

  Hence an + ar - nr - n². =  (n + r)((a - n).   

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

NECTA 1995 QN. 20a

Factorize completely pq + pr - rq - q².