Question

Without actually calculating the cube find the value of the following (-12)cube + (7)cube + (5)cube

Answer 1

the answer is zero. because -(12)+7+5=0

Answer 2

we know that a conditional identity that if a+b+c=0......then
${a}^{3} + {b}^{3} + {c}^{3} = 3abc$
here......... a=(-12)......b=7.......c=5
a+b+c=(-12)+7+5=0
so......
${ - 12}^{3} + {5}^{3} + {7}^{3}$
=3(-12)(5)(7)=(-1260)
hope it helps...
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