Question

solve identity (-12)raiseto power 3 +(5)raiseto power 3 +(7)raiseto power 3​

Answer 1

Answer:

Check the attached

Answer 2

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

Using the identity :-

$in \: {a}^{3} + {b}^{3} + {c}^{3}$

$a + b + c = 0$

$so \: {a}^{3} + {b}^{3} + {c}^{3} = 3abc$

Then :-

${ ( - 12)}^{3} + {5}^{3} + {7}^{3}$ $= 0$

So :-

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

$= 3 \times ( - 12) \times 5 \times 7$

$= - 1260$