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Question

Find: a31a3, if a1a=4

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Solution

Applying the formula,(ab)3=a3b33ab(ab)

(a1a)3=a3(1a)33a×1a×(a1a)=a31a33(a1a)

=>a31a3=(a1a)3+3(a1a)

Substituting, a1a=4

a3(1a)3=43+3×4=64+12=76.

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