Question

Without actually calculating the cubes find the value of (25)³+(-17)³+(-8)³....please answer

Answer 1

if a+b+c = 0, then

${a}^{3} + {b}^{3} + {c}^{3} = 3abc$

25 + (-17) + (-8) = 25 - 25=0

So,

${(25)}^{3} + {( - 17)}^{3} + {( - 8)}^{3}$

$= 3 \times 25 \times ( - 17) \times ( - 8) \\ = 10200$

Answer 2

if a+b+c=0 them a^3+b^3+c^3=0

25-17-8=0

so according to the formula 3×25×(-17)×(-8)=10200