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Question
Evaluate: (3x - 2y)(4x + 3y) (8x - 5y)
Sum
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Solution
(3x - 2y)(4x + 3y)(8x - 5y)
= 3x (4x + 3y) - 2y (4x + 3y)(8x - 5y)
= (12x2 + 9xy - 8xy - 6y2 )(8x - 5y)
= (12x2 + xy - 6y2 )(8x - 5y)
= 8x (12x2 + xy - 6y2 ) - 5y (12x2 + xy - 6y2 )
= 96x3 + 8x2y - 48xy2 - 60x2y - 5xy2 + 30y3
= 96x3 + 8x2y - 60x2y - 48xy2 - 5xy2 + 30y3
= 96x3 - 52x2y - 53xy2 + 30y3
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