Question : If $a=12, b=-7$ and $c=-5$, then what is the value of $a^3+b^3+c^3$?
Option 1: 1260
Option 2: 1125
Option 3: 1200
Option 4: 1380
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Correct Answer: 1260
Solution :
Given: $a=12, b=-7,$ and $c=-5$
$a^3= 12^3 = 1728$
$b^3=-7^3=-343$
$c^3=-5^3=-125$
$\therefore a^3+b^3+c^3=1728-343-125=1260$
Hence, the correct answer is 1260.
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