Question
Evaluate the following: $(10.4)^3$
✓
Answer
We know that $(a + b)^3 = a^3 + b^3 + 3ab(a + b)$
$\Rightarrow (10.4)^3$ can be written as $(10 + 0.4)^3$
Here, $a = 10$ and $b = 0.4$
$(10.4)^3 = (10 + 0.4)^3$
$= (10)^3 + (0.4)^3 + 3(10)(0.4)(10 + 0.4)$
$= 1000 + 0.064 + (12 \times 10.4)$
$= 1000 + 0.064 + 124.8$
$= 1000 + 124.864$
$= 1124.864$
The value of $(10.4)^3 $
$= 1124.864$
$\Rightarrow (10.4)^3$ can be written as $(10 + 0.4)^3$
Here, $a = 10$ and $b = 0.4$
$(10.4)^3 = (10 + 0.4)^3$
$= (10)^3 + (0.4)^3 + 3(10)(0.4)(10 + 0.4)$
$= 1000 + 0.064 + (12 \times 10.4)$
$= 1000 + 0.064 + 124.8$
$= 1000 + 124.864$
$= 1124.864$
The value of $(10.4)^3 $
$= 1124.864$
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