Q10 of 59 Page 38

Find the product:

(2a + 3)(2a – 3)(4a2 + 9)

First solving (2a + 3)(2a – 3)

Using the identity (a +b) (a–b) = a2 – b2


Here a = 2a and b = 3


= (2a)2 –32


= 4a2 – 9


Now (4a2 – 9)(4a2 + 9)


Using the identity (a +b) (a – b) = a2 – b2


Here a = 4a and b = 9


= (4a)2 – 9 2


= 16a4 – 81


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