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Question

If a - b = 6 and ab = 20, find the value of a3b3.

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Solution

a - b = 6, ab = 20

Cubing both sides,

(ab)3=(6)3 a3b33ab(ab)=216 a3b33×20×6=216 a3b3360=216 a3b3=216+360=576 a3b3=576


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