Verify `x^3-y^3=(x-y)(x^2+xy+y^2)` Using some non-zero positive integers and check by actual multiplication can you call these as identities?

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

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 ?

Find the positive integers x and y such that x+y=60 " and " xy^(3) is maximum.

How can you find (x-y)^(3) without actual multiplication? Verify with actual multiplication.

Find 3x^2y xx 4xy^2 xx 7x^3y^3

Expand (4x - 2y-3z) ^(2) using identity