Factors-8
From Homeworkwiki
Factorize :
(i) a 2 + b 2 - c 2 - 2 a b
(ii) 16 x 2 - y 2 + 4 y z - 4 z 2
Solution :
(i) a 2 + b 2 - c 2 - 2 a b
= (a 2 + b 2 - 2 a b) - c 2
= ( a - b ) 2 - c 2
= (a - b + c) (a - b - c)
(ii) 16 x 2 - y 2 + 4 y z - 4 z 2
= (4 x) 2 - (y 2 - 4 y z + 4 z 2 )
= (4 x) 2 - (y - 2 z) 2
= (4 x + y - 2 z) (4 x - y + 2 z)
