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216 2 4Verify: (i) x + y = (x + y) (x2 - xy + y)9.(ii) x - y = (x-y) (x2 + xy + y) |
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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) 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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