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1 212 216 2 4 "Verify: (i) x' + y = (x + y) (x2 - xy + y )9.(ii) x - y) = (x - y) (x2 + xy + y)

Answer»

R.H.S =>(x+y) ( x2- xy + y2)=> x3- x2y + xy2+ x2y - xy2+ y3 {On multiplying x3+ y3with(x+y) ( x2 - xy + y2)}=> [x3+ y3] + ( -x2y+ x2y) + (xy2- xy2)=> x3+ y3Since R.H.S = L.H.S,That is x3+ y3= x3+ y3Hence, verified that x3+ y3=(x+y) ( x2- xy + y2)



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