Fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers​

Step-by-step explanation:

We know that,

If (a+b+c)=0, then a

3

+b

3

+c

3

=3abc

Here, 28+(−15)+(−13)=0

∴(28)

3

+(−15)

3

+(−13)

3

=3(28)(−15)(−13)=16380

a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)

if a + b + c = 0. then a³ + b³ + c³ = 3abc

here a + b + c = 15 + (-9) + (-6)

a + b + c = 15 - 15

a + b + c = 0

so a³ + b³ + c³ = 3abc

15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)

= 2430

so the answer is 2430

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: