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Syllabus

Evaluate: (3x - 2y)(4x + 3y) (8x - 5y)

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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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Performs Operations (Addition and Subtraction) on Algebraic Expressions with Integral Coefficients Only.
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Q 5.2
Chapter 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (C)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (C) | Q 5.2

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