Advertisements
Advertisements
प्रश्न
Write in the expanded form (a2 + b2 + c2 )2
उत्तर
We have
(a2 + b2 + c2 )2 = (a2 )2 + (b2 )2 + (c2 )2 + 2a2b2 + 2b2c2 + 2a2c2
∵ (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
= a4 + b4 + c4 + 2a2b2 + 2b2c2 + 2a2c2
∴ (a2 + b2 + c2 )2 = a4 + b4 + c4 + 2a2b2 + 2b2c2 + 2a2c2
APPEARS IN
संबंधित प्रश्न
Evaluate the following using suitable identity:
(99)3
Evaluate the following using identities:
`(a^2b - b^2a)^2`
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
Find the following product:
(3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx)
If a − b = −8 and ab = −12, then a3 − b3 =
Find the square of : 3a - 4b
Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.
Evaluate: (9 − y) (7 + y)
Evaluate: 203 × 197
Evaluate: 20.8 × 19.2
Expand the following:
(m + 8) (m - 7)
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Evaluate the following without multiplying:
(1005)2
Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401
If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x3 – y3 is ______.
Expand the following:
(4a – b + 2c)2
