Let's simplify:-
`(x + y) (x^2 -xy + y^2) + ( x - y) (x^2 + xy + y^2)`

Let us simplify using formula:- (x -y) (x^2 + xy + y^2) + (y - z) (y^2 + yx + z^2) + (z - x) (z^2 + zx + x^2)

Let's simplify: frac(x)(x^2 + xy) - frac(x)(x-y)

Let's find value of : (x - y)a + (y - z) b + (z -x)c if a = x^2 + xy + y^2,b = y^2 + yz + z^2, c = z^2 + zx + x^2

Let's multiply :- 7xy^2 xx 8x^2y xx xy

Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) x ^(3) -y ^(3) = (x-y) (x ^(2) +xy +y ^(2)) using some non-zone positive integers and check by actual multiplication. Can you call these as identities ?

Let's Substract: (2x^2 + xy + 3y^2) From (3x^2 + 5xy)

if y + x = 5xy , y - x = -xy

Let's write logically whether (x + y)^2 - (x - y)^2 = 4xy is an identity or an equation.

Let's add : 4xy + 5x + 7y, - 4xy - y - 3x, 3xy - 3y + 2x

The fourth proportional of x - y , x^(2) - y^(2) " and " x^(2) - xy + y^(2) is