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Question

Evaluate: (3+2)6(32)6

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Solution

(3+2)6(32)6 a3+b3=(a+b)(a2+b2ab)
a3b3=(ab)(a2+b2+ab)
((3+2)3)2((32)3)2
((3+2)3+(3+2)3)((3+2)3(32)3)
(3+2+32)((3+2)2+(32)2(3+2)(32))((3+2(32))((3+2)2+(32)2+(3+2)(32))
(23)(3+2+23+3+2233+2)(22)(3+2+23+3+223+32)
(23)(9)(22)(11)
(46)(99)
3966.

1059272_1159879_ans_55845818034245ccbbb1dbe6c11a5822.png

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