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Question
Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
( 2x + 3y )( 4x2 + 6xy + 9y2 )
Sum
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Solution
( 2x + 3y )( 4x2 + 6xy + 9y2 )
= ( 2x + 3y )[ (2x)2 - (2x)(3y) + (3y)2 ]
= (2x)3 + (3y)3
= 8x3 + 27y3
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