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