Advertisements
Advertisements
प्रश्न
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
Advertisements
उत्तर
We have
`[2x^2 - 4x^2 + 1][2x^4 - 4x^2 - 1]`
`=> [(2x^4 - 4x^2)^2 - (1)^2] [∵ (a + b)(a - b) = a^2 - b^2]`
`=> [(2x^4)^2 + (4x^2)^2 - 2(2x^4)(4x^2) - 1]`
`=> 4x^8 + 16^4 - 16x^6 - 1 [∵ (a - b)^2 = a^2 + b^2 - 2ab]`
`=> 4x^8 - 16x^6 + 16x^4 - 1`
`∴ [2x^4 - 4x^2 + 1][2x^4 - 4x^2 - 1] = 4x^8 - 16x^6 + 16x^4 - 1`
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 4) (x + 10)
Use suitable identity to find the following product:
`(y^2+3/2)(y^2-3/2)`
Expand the following, using suitable identity:
(2x – y + z)2
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
If x + y + z = 0, show that x3 + y3 + z3 = 3xyz.
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Evaluate the following using identities:
(0.98)2
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
Write in the expand form: `(2x - y + z)^2`
Simplify the following expressions:
`(x^2 - x + 1)^2 - (x^2 + x + 1)^2`
If a − b = 4 and ab = 21, find the value of a3 −b3
Evaluate of the following:
(103)3
Find the square of `(3a)/(2b) - (2b)/(3a)`.
The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y.
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Evaluate the following without multiplying:
(103)2
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" - (1)/"a"`
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 + c2.
Find the following product:
(x2 – 1)(x4 + x2 + 1)
