Advertisements
Advertisements
Question
Evaluate of the following:
(99)3
Advertisements
Solution
In the given problem, we have to find the value of numbers
Given (99)3
In order to find (99)3 we are using identity `(a-b)^3 = a^3 - b^3 - 3ab (a-b)`
We can write (99)3 as `(100 - 1)^3`
Hence where a= 100,b =1
(99)3 ` = (100 - 1)^3`
`= (100)^3 - (1)^3 - 3 (100)(1)(100 - 1)`
`= 1000000 - 1 - 300 xx 99`
`= 1000000 - 1 - 29700`
`= 1000000 - 29701`
` = 970299`
The value of (99)3 is 970299 .
APPEARS IN
RELATED QUESTIONS
Expand the following, using suitable identity:
(2x – y + z)2
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
Evaluate of the following:
(9.9)3
Find the following product:
\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
If a + b = 8 and ab = 6, find the value of a3 + b3
If a + b = 6 and ab = 20, find the value of a3 − b3
Find the following product:
(3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx)
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
Find the square of `(3a)/(2b) - (2b)/(3a)`.
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
Use the direct method to evaluate the following products:
(x + 8)(x + 3)
Expand the following:
(a + 3b)2
Simplify by using formula :
(2x + 3y) (2x - 3y)
If x + y = 9, xy = 20
find: x - y
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
Find the following product:
(x2 – 1)(x4 + x2 + 1)
Simplify (2x – 5y)3 – (2x + 5y)3.
