Question

without actually calculating actitally calculating cubes find the value (25)3 + (-17) 3 + (-8) 3​

Answer 1

Answer:

15625-4913-512=10200

Answer 2

Step-by-step explanation:

if a+b+c = 0, then

{a}^{3} + {b}^{3} + {c}^{3} = 3abca

3

+b

3

+c

3

=3abc

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

So,

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

3

+(−17)

3

+(−8)

3

\begin{gathered} = 3 \times 25 \times ( - 17) \times ( - 8) \\ = 10200\end{gathered}

=3×25×(−17)×(−8)

=10200

Hope it's help you..!!✌️