Factors-8

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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)

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