Question

pls solve this using ( x+y)^3 = x^3+y^3 + 3x^2y+3xy^2​

Answer 1

Answer:

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

solving rhs

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

hence proved

hope it helps you