Question

verify that x^3+y^3=(x+y) (x^2+y^2-xy)

Answer 1

Here it is explained

Answer 2

HEYA FRND.....☺

${(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)$

${(x + y)}^{3} - 3xy(x + y) = {x}^{3} + {y}^{3}$

$(x + y)( {(x + y)}^{2} - 3xy) = {x}^{3} + {y}^{3}$

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

$= > \: {x}^{3} + {y}^{3} = (x + y)( {x}^{2} + {y}^{2} - xy)$

$............. \: hence \: proved$

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$HOPE \: IT \: WILL \: HELP \: YOU. . . . . .$