Question

(107)^3 -(93)^3 solve by using suitable identity

Answer 1

${107}^{3} - {93}^{3} \\ = (107 - 93)({107}^{2} + {93}^{2} + 107\cdot93) \\ = 14\cdot( {(107 + 93)}^{2} - 107\cdot93) \\ = 14\cdot( {200 }^{2} - (100 + 7)(100 - 7)) \\ = 14\cdot( {200}^{2} - {100}^{2} + {7}^{2} ) \\ = 14\cdot((200 + 100)(200 - 100) + 49) \\ = 14\cdot(300\cdot100 + 49) \\ = 14\cdot(30049) = 420686$

Answer 2

Answer:

420686 is the right answer

Step-by-step explanation:

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