Question

Without actually calculating cubes find the value of (-12)cube +7cube +5cube

Answer 1

We know that,

A³+b³+c³ = 3abc

(-12)³+ 7³+5³ = 3(-12)(7)(5)

= -1260

Answer 2

here we have a=-12 ,b=7 , c=5. now a+b+c= -12+(7+5)= -12+12=0. since a+b+c=0. so a(cube)+b(cube)+c(cube)=3abc. =3*(-12)*7*5= -1260. ans.