Question

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Answer 1

Answer:

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Answer 2

✨✨✨✨ANSWER

$(1)\\ \\ r.h.s. = (x + y)(x {}^{2} - xy + y {}^{2}) \\ = x(x {}^{2} - xy + y {}^{2}) + y(x {}^{2} - xy + y {}^{2}) \\ = x {}^{3} - x {}^{2} y + xy {}^{2} + x {}^{2} y - xy {}^{2} + y {}^{3} \\ = x {}^{3} + y {}^{3} = l.h.s.(proved) \\ \\ (2) \\ \\ r.h.s. = (x - y)(x {}^{2} + xy + y {}^{2}) \\ = x(x {}^{2} + xy + y {}^{2}) - y(x {}^{2} + xy + y {}^{2}) \\ = x {}^{3} + x {}^{2} y + xy {}^{2} - x {}^{2} y - xy {}^{2} - y {}^{3} \\ = x {}^{3} - y {}^{3} = l.h.s.(proved)$