Q10 of 59 Page 38

Find the product:

(2x – 3y)(2x + 3y)(4x2 + 9y2)

First solving for (2x – 3y)(2x + 3y)

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


Here a = 2x and b = 3y


= (2x)2 – (3y)2


= 4x2 – 9y2


Now solving for ( 4x2 – 9y2 ) (4x2 + 9y2 )


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


Here a = 4x2 and b = 9y2


= (4x2 )2 – (9y2)2


= 16 x4 – 81 y4


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