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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