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Question

Find it using identity.

1043


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Solution

1043=100+43

We know that ,

a+b3=a3+b3+3a2b+3ab2

Here , a=100 and b=4.

Substituting the values of a and b we get ,

100+43=1003+43+3×(100)2×4+3×100×(4)2=1000000+64+3×10000×4+3×100×16=1000000+64+12×10000+4800=1000000+64+120000+4800=1000064+124800=1124864.

Hence , (104)3=1124864.


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