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361cube+139cube/361square-(361*139)+139square

Answer»

Answer:500

STEP by step EXPLANATION:

\frac{ {361}^{3}  +  {139}^{3} }{ {361}^{2} - (361 \times 139)  +  {139}^{2}  }  =  \frac{(361 + 139)( {361}^{2} - (361 \times 139) +  {139}^{2})  }{ {262}^{2} - (361 - 139) +  {139}^{2}  }  \\ since \:  \:  a ^{3}  +  {b}^{3}  = (a + b)( {a}^{2}  - ab +  {b}^{2} ) \\ answer = 361 + 139 = 500

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