Question
Evaluate the following:
$(103)^3$
$(103)^3$
✓
Answer
$\text { We know that }(a+b)^3=a^3+b^3+3 a b(a+b)$
$\Rightarrow(103)^3 \text { can be written as }(100+3)^3$
$\text { Here, } a=100 \text { and } b=3$
$(103)^3=(100+3)^3$
$=(100)^3+(3)^3+3(100)(3)(100+3)$
$=1000000+27+(900 \times 103)$
$=1000000+27+92700$
$=1092727$
The value of $(103)^3=1092727$
$\Rightarrow(103)^3 \text { can be written as }(100+3)^3$
$\text { Here, } a=100 \text { and } b=3$
$(103)^3=(100+3)^3$
$=(100)^3+(3)^3+3(100)(3)(100+3)$
$=1000000+27+(900 \times 103)$
$=1000000+27+92700$
$=1092727$
The value of $(103)^3=1092727$
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