Question
Using suitable identity, evaluate the following:
$103^3$
$103^3$
✓
Answer
$103^3=(100+3)^3$
Now using identity $(a+b)^3=a^3+b^3+3 a b(a+b)$, we have
$(100+3)^3=(100)^3+(3)^3+3(100)(3)(100+3)$
$=1000000+27+900(100+3)$
$=1000000+27+90000+2700$
$=1092727$
Now using identity $(a+b)^3=a^3+b^3+3 a b(a+b)$, we have
$(100+3)^3=(100)^3+(3)^3+3(100)(3)(100+3)$
$=1000000+27+900(100+3)$
$=1000000+27+90000+2700$
$=1092727$
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