simplify 73×73×73+27×27×27÷73×73-73×27+27×27
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Hey .!!
73*73*73+27*27*27/73*73-73*27+27*27
⇒(73)³+(27)³/(73)²-73*27+(27)²
⇒(73+27){(73)²-73*27+(27)²} / (73)²-73*27+(27)² {∵(a+b)³=(a+b)(a²-ab+b²)}
⇒73+27 {∵(73)²-73*27+(27)² gets cancelled}
⇒100 [Answer]
73*73*73+27*27*27/73*73-73*27+27*27
⇒(73)³+(27)³/(73)²-73*27+(27)²
⇒(73+27){(73)²-73*27+(27)²} / (73)²-73*27+(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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