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Question

If a-b=2 and a*b=15 find a3-b3

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Solution

Given that a - b = 2,ab = 15

We know that (a-b)^3 = a^3 - b^3 -3ab(a-b)

(2)^3 = a^3 - b^3 - 3(15)(2)

8 = a^3 - b^3 - 90

8 + 90 = a^3 - b^3

98 = a^3 - b^3.



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