Question

evaluate (-25)^3 + 10^3 + 15^3 using suitable Identity​

Answer 1

Answer:

We know that,

If a + b + c = 0 then

a³ + b³ + c³ = 3abc

Here,

a = -25, b = 10, c = 15

Now,

a + b + c = -25 + 10 + 15 = 0

Therefore,

a³ + b³ + c³

= (-25)³ + ( 10 )³ + ( 15 )³

= 3abc

= 3 × (-25) × 10 × 15

= - 11250