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Ex 2.5,9 - Chapter 2 Class 9 Polynomials - Part 2

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Ex 2.5, 9 Verify: (ii) x3 - y3 = (x - y) (x2 + xy + y2) L.H.S x3 - y3 We know (x - y)3 = x3 - y3 - 3xy (x - y) x3 - y3= (x - y)3 +3xy (x - y) = (x - y)3 + 3xy (x - y) = (x - y) [ (x - y)2 + 3xy)] = (x - y) [(x2 + y2 - 2xy) + 3xy] = (x - y) (x2 + y2 + xy) = (x - y) (x2 + xy + y2) = R.H.S R.H.S (x - y) (x2 + xy + y2) Hence proved

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