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Question

8x3 - 343y3 = ?


A

(2x - 7y) (4x2 - 49y2)

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B

(2x+7y)(4x2 - 14xy + 49y2)

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C

(2x + 7y) (2x - 7y)

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D

(2x-7y) (4x2 + 14xy + 49y2)

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Solution

The correct option is D

(2x-7y) (4x2 + 14xy + 49y2)


Use a3 - b3 formula and substitute a = 2x and b = 7y

8x3 - 343y3 = (2x)3 - (7y)3 = (2x - 7y) (4x2 + 14xy + 49y2)


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