Advertisements
Advertisements
प्रश्न
The product (x2−1) (x4 + x2 + 1) is equal to
पर्याय
x8 − 1
x8 + 1
x6 − 1
x6 + 1
Advertisements
उत्तर
We have to find the product of `(x^2 - 1)(x^4 +x^2 +1)`
Using identity `(a^3 -b ^3) = (a-b)(a^2 +ab + b^2)`
Here `a=x^2 , b = 1`
`(x^2)^3 - (1)^3 = (x^2 - 1)[(x^2)^2 + x^2 xx 1 +1^2]`
`x^6 - 1 = (x^2-1)(x^4 + x^2 + 1)`
Hence the product value of `(x^2 - 1)(x^4 +x^2 +1)` is `x^6 - 1`.
APPEARS IN
संबंधित प्रश्न
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Write in the expanded form:
`(a + 2b + c)^2`
Write in the expanded form:
(2a - 3b - c)2
If 3x − 2y = 11 and xy = 12, find the value of 27x3 − 8y3
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
(9y2 − 4x2) (81y4 +36x2y2 + 16x4)
If a + b = 10 and ab = 16, find the value of a2 − ab + b2 and a2 + ab + b2
Evaluate:
483 − 303 − 183
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
Use identities to evaluate : (97)2
If a - b = 7 and ab = 18; find a + b.
Use the direct method to evaluate :
(xy+4) (xy−4)
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Simplify:
(x + y - z)2 + (x - y + z)2
Factorise the following:
4x2 + 20x + 25
Expand the following:
`(1/x + y/3)^3`
Find the value of x3 + y3 – 12xy + 64, when x + y = – 4
Simplify (2x – 5y)3 – (2x + 5y)3.
