Question

Without actual calculating the cubes. Find the value of:
(6)3 + (-10)3 + (4)3​

Answer 1

(6) + (-10) + (4)

= 10 - 10

= 0

So, (6)³ + (-10)³ + (4)³ = 3(6)(-10)(4) = -720

Answer 2

Answer:

-720

Step-by-step explanation:

Let us take 6 as x,-10 as y and 4 as z.

x+y+z=6-10+4=0.

We know that when x+y+z=0 then, x^3+y^3+z^3=3xyz.

So, 6^3-10^3+4^3=3(6)(-10)(4)=-720