1.

Verify thatkつcays = (arty) (χ.xytta_ )。

Answer»

R.H.S =>(x+y) ( x^2- xy + y^2)=> x^3- x^2y + xy^2+ x^2y - xy^2+ y^3 {On multiplying x3+ y3with(x+y) ( x^2 - xy + y^2)}=> [x^3+ y^3] + ( -x^2y+ x^2y) + (xy^2- xy^2)=> x^3+ y^3Since R.H.S = L.H.S,That is x^3+ y^3= x^3+ y^3Hence, verified that x3+ y3=(x+y) ( x2- xy + y2)



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