Advertisements
Advertisements
प्रश्न
Write in the expanded form:
`(a + 2b + c)^2`
Advertisements
उत्तर
We have `(a + 2b + c)^3`
`= a^2 + (2b)^2 + (c)^2 + 2(a)(2b) + 2ac + (2b)2c`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
`∴ (a + 2b + c)^2 = a^2 + 4b^2 + c^2 + 4ac + 2ac + 4bc`
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Evaluate the following using suitable identity:
(998)3
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Evaluate the following using identities:
(2x + y) (2x − y)
Evaluate following using identities:
(a - 0.1) (a + 0.1)
Write in the expanded form (a2 + b2 + c2 )2
Write in the expanded form: `(x/y + y/z + z/x)^2`
Simplify the following expressions:
`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`
If 3x − 2y = 11 and xy = 12, find the value of 27x3 − 8y3
Evaluate of the following:
(9.9)3
Evaluate of the following:
933 − 1073
If \[x + \frac{1}{x} = 3\] then \[x^6 + \frac{1}{x^6}\] =
If 49a2 − b = \[\left( 7a + \frac{1}{2} \right) \left( 7a - \frac{1}{2} \right)\] then the value of b is
Use identities to evaluate : (97)2
Evaluate: (5xy − 7) (7xy + 9)
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
If `x + (1)/x = 3`; find `x^2 + (1)/x^2`
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
Factorise the following:
4x2 + 20x + 25
