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Question

If x3 – y3 = (x – y) (x2 + y2 – xy) and x3 + y3 = (x +y)(x2 + y2 + xy), then (23 + 33) divided by (33 – 23)

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Solution

23 + 3333 - 23=2 + 322 + 32 - 2 × 33 - 232 + 22 + 3 × 2=54 + 9 - 619 + 4 + 6=5 × 71 × 19=3519

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