Question

(x⁶-y⁶) divided by (x-y)
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Answer 1

Step-by-step explanation:

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