Advertisements
Advertisements
Question
Evaluate of the following:
(9.9)3
Advertisements
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
Write the following cube in expanded form:
(2a – 3b)3
Write the following cube in expanded form:
`[3/2x+1]^3`
Factorise the following:
64m3 – 343n3
Give possible expression for the length and breadth of the following rectangle, in which their area is given:
| Area : 35y2 + 13y – 12 |
Evaluate the following using identities:
`(2x+ 1/x)^2`
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
Find the following product:
(4x − 5y) (16x2 + 20xy + 25y2)
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{7} + \frac{y}{3} \right) \left( \frac{x^2}{49} + \frac{y^2}{9} - \frac{xy}{21} \right)\]
If x + y + z = 8 and xy +yz +zx = 20, find the value of x3 + y3 + z3 −3xyz
If \[x + \frac{1}{x}\] 4, then \[x^4 + \frac{1}{x^4} =\]
Use the direct method to evaluate :
(ab+x2) (ab−x2)
Evaluate: (5xy − 7) (7xy + 9)
Find the squares of the following:
(2a + 3b - 4c)
Simplify by using formula :
`("a" + 2/"a" - 1) ("a" - 2/"a" - 1)`
If `"a" - 1/"a" = 10;` find `"a" + 1/"a"`
If p + q = 8 and p - q = 4, find:
p2 + q2
Simplify:
(x + y - z)2 + (x - y + z)2
Factorise the following:
9y2 – 66yz + 121z2
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
