Advertisements
Advertisements
Question
Evaluate of the following:
(9.9)3
Solution
In the given problem, we have to find the value of numbers
Given (9.9)3
In order to find (9.9)3 we are using identity `(a-b)^3 = a^3 - b^3 - 3ab(a-b)`
We can write (9.9)3 as `(10-0.1)^3`
Hence where a = 10,b = 0.1
`(9.9)^3 = (10 - 0.1)^3`
` = (10)^3 - (0.1)^3 - 3(10)(0.1)(10 - 0.1)`
` = 1000 - 0.001 - 3 xx 9.9`
` = 1000 - 0.001 - 29.7`
` = 1000 - 29.701`
` = 970.299`
The value of (9.9)3 is 970.299.
APPEARS IN
RELATED QUESTIONS
Evaluate the following product without multiplying directly:
103 × 107
Expand the following, using suitable identity:
(2x – y + z)2
Expand the following, using suitable identity:
(3a – 7b – c)2
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
Write in the expanded form:
`(a + 2b + c)^2`
Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2
If 3x − 2y = 11 and xy = 12, find the value of 27x3 − 8y3
Evaluate of the following:
(103)3
Evaluate of the following:
1043 + 963
Find the value of 64x3 − 125z3, if 4x − 5z = 16 and xz = 12.
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
If a − b = 5 and ab = 12, find the value of a2 + b2
Use the direct method to evaluate the following products :
(a – 8) (a + 2)
Use the direct method to evaluate :
(2+a) (2−a)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Simplify:
(1 + x)(1 - x)(1 - x + x2)(1 + x + x2)
Expand the following:
`(4 - 1/(3x))^3`
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3
