The value of (−28)3 + (18)3 + (10)3 is
15120
-15120
-5040
none of these
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Given,
(−28)3 + (18)3 + (10)3
We know that,
If a + b + c = 0, then a3 + b3 + c3 = 3abc.
Since, -28 + 18 + 10 = 0
⇒ (−28)3 + 183 + 103 = 3 × (-28) × 18 × 10
⇒ (−28)3 + 183 + 103 = -15120.
Hence, Option 2 is the correct option.
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Assertion (A): (1 - 3x)3 can be expanded as 1 - 27x3 - 9x - 27x2.Reason (R): (a - b)3 = a3 - b3 - 3ab(a - b)
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
If x + y = −4, the value of x3 + y3 − 12xy + 64 is :
1
-1
4
0