Question

Without actually calculating the cubs, find the value of ( 27) ³ +(-15) +(+12) ³​

Answer 1

(27)^3+(-15)+(12)^3

= 27×27×27-15+12×12×12

= 19683-15+1728

= 21396 answer........

Answer 2

(27)³ + (-15)³ + (12)³

Let, x = 27, y = -15, z = 12

Then, x + y + z = 27 - 15 + 12 = 0

We know the algebraic identity, if a + b + c = 0 then a³ + b³ + c³ = 3abc

Thus, (27)³ + (-15)³ + (12)³ = 3×(27)(-15)(12)

= -14580