Question

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Answer 1

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Prove a³-b³=(a-b)(a²+b2+ab)

=>a³+b³+3ab(a+b)

=(a+b)² (a+b) =>a³+b³

=(a+b)² (a+b) - 3ab(a+b)

=(a+b) {(a+b)²-3ab}

=(a+b)(a²+b²+2ab-3ab}

=(a+b)(a²+-ab+b²) verified.

Answer 2

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