Simplify (737373+272727)\(7373-7327+27*27)

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Solution

737373+272727/7373-7327+2727
⇒(73)³+(27)³/(73)²-7327+(27)²
⇒(73+27){(73)²-7327+(27)²}/(73)²-7327+(27)² {∵(a+b)³=(a+b)(a²-ab+b²)}
⇒73+27 {∵(73)²-73*27+(27)² gets cancelled}
⇒100 [Answer]

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