If x + y = −4, the value of x3 + y3 − 12xy + 64 is :
1
-1
4
0
2 Likes
Given,
x + y = -4
We know that,
⇒ x3 + y3 = (x + y)3 - 3xy(x + y)
⇒ x3 + y3 = (-4)3 - 3xy(-4)
⇒ x3 + y3 = -64 + 12xy
⇒ x3 + y3 - 12xy + 64 = 0.
Hence, Option 4 is the correct option.
Answered By
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
The value of (−28)3 + (18)3 + (10)3 is
15120
-15120
-5040
none of these