Advertisements
Advertisements
प्रश्न
Write in the expanded form:
`(a + 2b + c)^2`
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
Factorise the following using appropriate identity:
4y2 – 4y + 1
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Evaluate following using identities:
(a - 0.1) (a + 0.1)
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
If \[x + \frac{1}{x} = 5\], find the value of \[x^3 + \frac{1}{x^3}\]
Find the following product:
If \[x + \frac{1}{x} = 3\] then \[x^6 + \frac{1}{x^6}\] =
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
Use the direct method to evaluate :
(0.5−2a) (0.5+2a)
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Evaluate the following without multiplying:
(1005)2
If p + q = 8 and p - q = 4, find:
p2 + q2
Using suitable identity, evaluate the following:
9992
Factorise the following:
16x2 + 4y2 + 9z2 – 16xy – 12yz + 24xz
Expand the following:
`(1/x + y/3)^3`
Find the following product:
(x2 – 1)(x4 + x2 + 1)
Find the value of x3 – 8y3 – 36xy – 216, when x = 2y + 6
