Question

Without actually calculating the cubes, find the values of (-13)cube+8cube+5cube​

Answer 1

Step-by-step explanation:

Solution: (i) (-12)³ + (7)³+ (5)³ Let x = -12, y = 7 & z = 5. x + y + z = -12 + 7 + 5 = 0. Here, x + y + z = 0. (-12)³+ (7)³+ (5)³ = - 1260. (ii) (28)³ + (–15)³ + (-13)³ Let x = 28, y = -15 and z = -13. x + y + z = 28– 15 – 13 = 0. Here, x + y + z = 0. (28)³+ (–15)³ + (-13)³ = 16380