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
Write the following cube in expanded form:
(2x + 1)3
Evaluate the following using suitable identity:
(102)3
Write in the expanded form:
`(a + 2b + c)^2`
Find the cube of the following binomials expression :
\[\frac{3}{x} - \frac{2}{x^2}\]
If a + b = 10 and ab = 21, find the value of a3 + b3
Evaluate of the following:
`(10.4)^3`
Evaluate of the following:
933 − 1073
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]
If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Find the squares of the following:
(2a + 3b - 4c)
Evaluate, using (a + b)(a - b)= a2 - b2.
999 x 1001
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Expand the following:
(3a – 2b)3
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3
