FACTORIZING 3

Factorize completely cm + cr - mr - m².  

Solution

= cm + cr - mr - m².

= (cm + cr) – (mr - m²).      [Grouping the factors]

= c(m + r) - m(r + m).   [after factoring out]

 = (m + r)(c - m).

  Hence cm + cr - mr - m². =  (m + r)(c - m).   

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

NECTA 1995 QN. 20a

Factorize completely pq + pr - rq - q².