Advertisements
Advertisements
प्रश्न
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
Advertisements
उत्तर
We have
`(a/(bc) + b/(ca) + c/(ab))^2 = (a/(bc))^2 + (b/(ca))^2 + (c/(ab))^2 + 2(a/(bc))(b/(ca)) + 2(b/(ca))(c/(ab)) + 2(a/(bc))(c/(ab))`
`[∵ (a + b + c)^2 = a^2 +b^2 + c^2 + 2ab + 2bc + 2ca]`
`∴ (a/(bc) + b/(ca) + c/(ab))^2 = (a^2/(b^2c^2) + b^2/(c^2a^2) + c^2/(a^2b^2) + 2/a^2 + 2/b^2 + 2/c^2)`
APPEARS IN
संबंधित प्रश्न
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
Evaluate the following using identities:
`(2x+ 1/x)^2`
If 3x - 7y = 10 and xy = -1, find the value of `9x^2 + 49y^2`
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Simplify the following expressions:
`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
Use the direct method to evaluate the following products :
(8 – b) (3 + b)
Use the direct method to evaluate :
(2a+3) (2a−3)
Evaluate: (4 − ab) (8 + ab)
Expand the following:
(3x + 4) (2x - 1)
Expand the following:
(x - 3y - 2z)2
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" - (1)/"a"`
If `"r" - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`
Simplify:
(2x + y)(4x2 - 2xy + y2)
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
The coefficient of x in the expansion of (x + 3)3 is ______.
