Q17 of 137 Page 100

Factories:

(2a + 3b)2 – 16c2

Given,


(2a + 3b)2 – 16c2


= (2a + 3b)2 – (4c)2


By using the formula a2 – b2 = (a + b)(a – b)


We get,


(2a + 3b)2 – 16c2 = (2a + 3b)2 – (4c)2


= {(2a + 3b) + 4c}{(2a + 3b) – 4c}


= (2a + 3b + 4c)(2a + 3b – 4c)


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