Question

AL
- Without actually calculating find the cubes of (45)3+ (-30)3+ (-15)
[1]
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Answer 1

Step-by-step explanation:

[a^3 + b^3 + c^3] = (a + b + c)(a^2 + b^2 +c^2 -ab -bc - ac)

45^3 + (-30)^3 + (-15)^3 =

(45 -30 -15) =0

Hence, answer will be 0

Answer 2

Given :   (45)³+ (-30)³+ (-15)³

To find : calculate without finding cubes

Solution:

a³ +b³ + c³  = 3abc  if a + b + c = 0

(45)³+ (-30)³+ (-15)³

45 - 30 - 15  = 0

Hence (45)²+ (-30)³+ (-15)³    =  3* 45(-30)(-15)  = 60,750

(45)³+ (-30)³+ (-15)³   = 60,750

Verification :

(45)³+ (-30)³+ (-15)³

= 91,125 - 27000 - 3375

= 60,750

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