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B
(2a−3b)(4a2+6ab+9b2)(4x−y)(16x2−4xy+y2)
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C
(2a+3b)(4a2+6ab+9b2)(4x+y)(16x2−4xy+y2)
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D
(2a+3b)(4a2+6ab+9b2)(4x−y)(16x2−4xy+y2)
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Solution
The correct option is A(2a−3b)(4a2+6ab+9b2)(4x+y)(16x2−4xy+y2) Using the identity a3+b3=(a+b)(a2−ab+b2) (64x3+y3)=(4x+y)(16x2−4xy+y2)
Using Identity a3−b3=(a−b)(a2+ab+b2) (8a3−27b3)=(2a−3b)(4a2+6ab+9b2)