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Question

The value of (2x+3y)3 is __________.


A

8x3 + 27y3 +36x2y + 54xy2

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B

8x3 + 27y2 +36x2y + 54xy2

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C

8x3 + 27y3 +36x3y + 54xy2

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D

8x3 + 27y3 +36x2y + 54xy3

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Solution

The correct option is A

8x3 + 27y3 +36x2y + 54xy2


We know the identity,
(a+b)3=a3+b3+3a2b+3ab2

(2x+3y)3=(2x)3+(3y)3+3(2x)2×(3y)+3×(2x)×(3y)2

= 8x3+27y3+36x2y+54xy2


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