Advertisements
Advertisements
प्रश्न
Write in the expanded form:
(2a - 3b - c)2
Advertisements
उत्तर
We have
`(2a - 3b - c)^2 = [(2a) + (-3b) +(-c)]^2`
`= (2a)^2 + (-3b)^2 + (-c)^2 + 2(2a)(-3b) + 2(-3b)(-c) + 2(2a)(-c)`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc = 2ca]`
`= 4a^2 + 9b^2 + c^2 - 12ab + 6bc - 4ac`
`∴ (2a - 3b - c)^2 = 4a^2 + 9b^2 + c^2 - 12ab + 6bc - 4ca`
APPEARS IN
संबंधित प्रश्न
Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25
Simplify the following
`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
Prove that a2 + b2 + c2 − ab − bc − ca is always non-negative for all values of a, b and c
Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2
Evaluate of the following:
1043 + 963
Find the following product:
Find the following product:
If a + b = 8 and ab = 6, find the value of a3 + b3
If a + b = 7 and ab = 12, find the value of a2 + b2
If a − b = 5 and ab = 12, find the value of a2 + b2
If a + b + c = 9 and ab + bc + ca =23, then a3 + b3 + c3 − 3abc =
Use the direct method to evaluate :
(2+a) (2−a)
Evaluate: (2a + 0.5) (7a − 0.3)
If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
If x + y + z = p and xy + yz + zx = q; find x2 + y2 + z2.
The coefficient of x in the expansion of (x + 3)3 is ______.
Find the following product:
(x2 – 1)(x4 + x2 + 1)
