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Question

Find the value of 27x3 + 8y3, if

(i) 3x + 2y = 14 and xy = 8

(ii) 3x + 2y = 20 and xy = 149

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Solution

In the given problem, we have to find the value of

(i) Given

On cubing both sides we get,

We shall use identity

Hence the value of is

(ii) Given

On cubing both sides we get,

We shall use identity

Hence the value of is .


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