Advertisements
Advertisements
प्रश्न
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Advertisements
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
`[1/4a - 1/2b + 1]^2`
= `(1/4a)^2 + (-1/2b)^2 + (1)^2 + 2(1/4a)(-1/2b) + 2(-1/2b)(1) + 2(1)(1/4a)`
= `1/16a^2 + 1/4b^2 + 1 - 1/4ab - b + 1/2a`
APPEARS IN
संबंधित प्रश्न
Simplify (a + b + c)2 + (a - b + c)2
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
Evaluate of the following:
`(10.4)^3`
Find the following product:
(7p4 + q) (49p8 − 7p4q + q2)
If x = −2 and y = 1, by using an identity find the value of the following
Evaluate:
253 − 753 + 503
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
(a − b)3 + (b − c)3 + (c − a)3 =
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
\[\frac{( a^2 - b^2 )^3 + ( b^2 - c^2 )^3 + ( c^2 - a^2 )^3}{(a - b )^3 + (b - c )^3 + (c - a )^3} =\]
Find the square of `(3a)/(2b) - (2b)/(3a)`.
Use the direct method to evaluate the following products:
(5a + 16) (3a – 7)
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2
If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Simplify:
(7a +5b)2 - (7a - 5b)2
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
The coefficient of x in the expansion of (x + 3)3 is ______.
Factorise the following:
4x2 + 20x + 25
Find the value of x3 + y3 – 12xy + 64, when x + y = – 4
