Question

$( - {12})^{3} + ( {7})^{3} + ({5})^{3}$
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Answer 1

Question:-

➡ Evaluate (-12)³ + (7)³ + (5)³

Solution:-

(-12)³ + (7)³ + (5)³

= a³ + b³ + c³ (Taking a = -12, b = 7 and c = 5)

Now,

a + b + c

= -12 + 7 + 5

= -12 + 12

= 0

So,

a + b + c = 0

➡ a³ + b³ + c³ = 3abc

So,

(-12)³ + (7)³ + (5)³

= 3 × -12 × 7 × 5

= 3 × -60 × 7

= 21 × -60

= -1260

Hence, the required answer is -1260

Answer:-

➡ (-12)³ + (5)³ + (7)³ = -1260

Answer 2

$\huge\tt\colorbox{aqua}{Answer}$

${( - 12)}^{3} + {(7)}^{3} + {(5)}^{3} \\ - 1728 + 343 + 125 \\ - 1728 + 468 \\ - 1260$