Question

verify: x3+y3=(x+y)(x2-xy+y2)​

Answer 1

two methods for you one show pic and one here :---

 R.H.S => (x+y) ( x2 - xy + y2)

=> x3 - x2y + xy2 + x2y - xy2 + y3              

{On multiplying x3 + y3 with (x+y) ( x2 - xy + y2)}

=> [x3 + y3] + ( -x2y + x2y) + ( xy2 - xy2)

=>  x3 + y3

Since R.H.S = L.H.S,

That is x3 + y3 = x3 + y3

Hence, verified that

x3 + y3 = (x+y) ( x2 - xy + y2)

Answer 2

hey mate

verify here

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

take R.H.S.

SO,

=(x+y)(x^2-xy+y^2)

=x^3-(x)^2y+ x(y)^2+(x^2)y- x(y)^2+y^3

= x^3+ y^3

= L.H.S.

I HOPES ITS HELP'S U.

@ABHI.