Question

Without calculating the cubes find the value of ( 5 )3 + ( 3 )3 - ( 8 )3​

Answer 1

Answer:

( 5 )3 + ( 3 )3 - ( 8 )3

15 + 9 - 24

24 - 24

0

Answer 2

Answer:

a+b+c=0 then a³+b³+c³=3abc

Using above corollary taking a=5,b=3,c=-8

we have a+b+c=5+3-8=0

then the value of (5)3+(3)3-(8)3 is :

(5)3+(3)3-(8)3=3(5×3-8)

(125+27-512)=3(-120)

-360=-360

Hence,(5)3+(3)3-(8)3=-360