QUADRATICS B1

 

Factorize completely qc + qr - cr - c².  

 

Solution

 

= qc + qe - cr - c².

 

= (qc + qr) – (cr - c²).      [Grouping ]

 

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

 

 = (c + r)(q - c).

 

  Hence qc + qr - cr - c². =  (c + r)(q - c).   

 

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

 

Factorize completely pe + pr - re - e².