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Question

The value of (119)2+(119)(111)+(111)2(119)3(111)3 is:

A
8
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B
18
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C
230
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D
1230
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Solution

The correct option is B 18
(119)2+(119)(111)+(111)2(119)3(111)3
Let a=119 and b=111
From, a3b3=(ab)(a2+ab+b2)

=(119)2+(119)(111)+(111)2(119111)((119)2+(119)(111)+(111)2)

=18

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