Math, asked by KanganaNikam, 8 months ago

(x⁶-y⁶) divided by (x-y)

Answers

Answered by junaidkhan61
2

Step-by-step explanation:

 {x}^{6}  -  {y}^{6}  = ( {x}^{3}  -  {y}^{3} )( {x}^{3}  +  {y}^{3} ) \\ ( {x}^{3}  -  {y}^{3} ) = (x - y)( {x}^{2}  +   {y}^{2}   + xy) \\ so \\ ( {x}^{6}  -  {y}^{6} ) = (x - y)(  {x}^{2}   +  {y }^{2}  + xy)( {x}^{3}  +  {y}^{3} ) \div (x - y) \\  = ( {x}^{2}  +  {y}^{2}  + xy)( {x}^{3}  +  {y}^{3} )

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