Advertisements
Advertisements
प्रश्न
Find the following product:
Advertisements
उत्तर
Given `(1-x)(1 + x + x^2)`
We shall use the identity `(a-b)(a^2+ ab + b^2) = a^3 - b^3`
We can rearrange the `(1 - x) (1+ x + x^2)`as
` = (1- x) [(1)^2 + (1)(x)+ (x)^2]`
` = (1)^3 - (x)^3`
` = (1) xx (1) xx (1) - (x) xx (x) xx (x)`
` = 1=x^3`
Hence the Product value of `(1-x)(1+x + x^2)`is `1-x^3`.
APPEARS IN
संबंधित प्रश्न
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Factorise the following:
64m3 – 343n3
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
Find the value of 4x2 + y2 + 25z2 + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.
If \[x - \frac{1}{x} = 5\], find the value of \[x^3 - \frac{1}{x^3}\]
Find the value of 27x3 + 8y3, if 3x + 2y = 14 and xy = 8
Find the following product:
(2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca)
(a − b)3 + (b − c)3 + (c − a)3 =
Use identities to evaluate : (502)2
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If x + y = 9, xy = 20
find: x2 - y2.
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
The value of 2492 – 2482 is ______.
The coefficient of x in the expansion of (x + 3)3 is ______.
Using suitable identity, evaluate the following:
1033
Using suitable identity, evaluate the following:
101 × 102
Expand the following:
(4a – b + 2c)2
Expand the following:
`(1/x + y/3)^3`
