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
Expand the following, using suitable identity:
(2x – y + z)2
Evaluate the following using suitable identity:
(998)3
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
If a + b = 7 and ab = 12, find the value of a2 + b2
If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]
If the volume of a cuboid is 3x2 − 27, then its possible dimensions are
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`
Use the direct method to evaluate :
(xy+4) (xy−4)
Evaluate: 20.8 × 19.2
Expand the following:
(3x + 4) (2x - 1)
Find the squares of the following:
9m - 2n
If x + y = 1 and xy = -12; find:
x2 - y2.
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
Simplify:
(4x + 5y)2 + (4x - 5y)2
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Which one of the following is a polynomial?
