Question

find the product :- x² + xy + y² and
x-y​

Answer 1

Answer:

=x³-x²y+x²y-xy²+xy²-y³

=x³-y³

Answer 2

QuestioN :

$\sf \: Find \: the \: product : {x}^{2} + xy + {y}^{2} \: and \: x - y$.

AnsweR :

$\\ \sf = {x}^{ 3 } + {y}^{3}$

ExplanatioN :

$\sf(x - y) \times ( {x}^{2} + xy + {y}^{2} ) \\ \sf = x( {x}^{2} + xy + {y}^{2} ) - y( {x}^{2} + xy + {y}^{2} ) \\ \sf = {x}^{3} + {x}^{2} y + x {y}^{2} - {x}^{2} y - x {y}^{2} + {y}^{3} \\ \sf = {x}^{3} + \cancel{ {x}^{2} y }- \cancel{ {x}^{2} y} + \cancel{ x {y}^{2} } - \cancel{ x {y}^{2} } + {y}^{3} \\ \sf = {x}^{ 3 } + {y}^{3}$