Evaluate :
${1.5}^{3} - {0.9}^{3} - {0.6}^{3}$ .

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Solution

Let $a = 1.5, b = - 0.9, c = - 0.6$ . Then,
$a + b + c = 0$
Therefore,
$a^{3} + b^{3} + c^{3} = 3 a b c$
$(1.5)^{3} + (- 0.9)^{3} + (- 0.6)^{3} = 3 \times 1.5 \times (- 0.9) \times (- 0.6) = 2.430$

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