FACTORIZE E1

 

Factorize completely cd + cr - dr - d².  

 

Solution

 

= cd + cr - dr - d². [after rearranging]

 

= cr + cd - dr - d². [after rearranging]

 

= (cr + cd) – (dr - d²).      [Grouping the factors]

 

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

 

 = (r + d)(c - d).

 

  Hence cd + cr - dr - d².  . (r + d)(c - d).

 

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

 

NECTA 1995 QN. 20a

 

Factorize completely pq + pr - rq - q².