Advertisements
Advertisements
Question
Evaluate of the following:
(598)3
Advertisements
Solution
In the given problem, we have to find the value of numbers
Given (598)3
In order to find (598)3we are using identity `(a-b)^3 = a^3 - b^3 - 3ab (a-b)`
We can write (598)3 as `(600 - 2)^3`
Hence where a = 600 , b = 2
(598)3 ` = (600 - 2)^3`
` = (600)^3 - (2)^3 - 3(600)(2) (600 - 2)`
` = 216000000 - 8 - 3600 xx 598`
` = 216000000 - 8 - 2152800`
` = 216000000 - 2152808`
` = 213847192`
The value of (598)3 is 213847192.
APPEARS IN
RELATED QUESTIONS
Use suitable identity to find the following product:
(3x + 4) (3x – 5)
Evaluate the following using suitable identity:
(998)3
Write the expanded form:
`(-3x + y + z)^2`
Write in the expanded form: (ab + bc + ca)2
Write in the expanded form: `(x/y + y/z + z/x)^2`
Evaluate of the following:
(103)3
If a + b = 6 and ab = 20, find the value of a3 − b3
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
Use identities to evaluate : (101)2
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate :
(2+a) (2−a)
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
Expand the following:
(x - 5) (x - 4)
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
If `"r" - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`
Factorise the following:
9y2 – 66yz + 121z2
