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Question

If a-b =4, ab =45. Then find the value of a3b3

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Solution

ab=4
ab=45
a3b3=(ab)(a2+b2+ab)
=(ab)(a2+b22ab+2ab+ab)
=(ab)((ab)2+3ab)
=4(16+3×45)
=4(16+135)
=4×151
=604

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