Question

verify xcube + y cube = (X + y )(x^- xy + y^)​

Answer 1

we know that

(X + y )^3 = x^3 + 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 - xy)

hence proved

Answer 2

Step-by-step explanation:

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

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

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

Hence, proved