Advertisements
Advertisements
प्रश्न
Write in the expanded form: `(x/y + y/z + z/x)^2`
Advertisements
उत्तर
We have
`(x/y + y/z + z/x)^2 = (x/y)^2 + (y/z)^2 + (z/x)^2 + 2. x/y.y/z + 2 y/z. z/x + 2. z/x. x/y`
`[∵ (a + b + c)^2 = a^2 + b^2 + 2ab + c^2 + 3bc + 2ca]`
`∴ (x/y + y/z + z/x)^2 = x^2/y^2 + y^2/z^2 + z^2/x^2 + 2 x/z + 2 y/x + 2 z/y`
APPEARS IN
संबंधित प्रश्न
Evaluate the following using suitable identity:
(998)3
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
Factorise the following:
27 – 125a3 – 135a + 225a2
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Simplify the following products:
`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
If a − b = 4 and ab = 21, find the value of a3 −b3
Evaluate the following:
(98)3
If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`
Simplify of the following:
If a + b = 6 and ab = 20, find the value of a3 − b3
Find the following product:
(2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca)
The product (x2−1) (x4 + x2 + 1) is equal to
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
Find the squares of the following:
3p - 4q2
Find the squares of the following:
(2a + 3b - 4c)
Simplify:
(4x + 5y)2 + (4x - 5y)2
Factorise the following:
4x2 + 20x + 25
If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 + c2.
