Advertisements
Advertisements
प्रश्न
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
Advertisements
उत्तर
We have
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
= [0.76 + 0.24]2 `[∵ a^2 + b^2 + 2ab = (a + b)^2]`
`= [1.00]^2`
= 1
∴ 0.76 x 0.76 + 2 x 0.76 x 0.24 + 0.24 x 0.24 = 1
APPEARS IN
संबंधित प्रश्न
Evaluate the following using suitable identity:
(99)3
Factorise the following:
27 – 125a3 – 135a + 225a2
if `x + 1/x = 11`, find the value of `x^2 + 1/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
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
Evaluate of the following:
(103)3
If \[x + \frac{1}{x} = 3\], calculate \[x^2 + \frac{1}{x^2}, x^3 + \frac{1}{x^3}\] and \[x^4 + \frac{1}{x^4}\]
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
Find the following product:
\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{7} + \frac{y}{3} \right) \left( \frac{x^2}{49} + \frac{y^2}{9} - \frac{xy}{21} \right)\]
Find the following product:
(2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca)
If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].
Find the square of 2a + b.
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate :
(4+5x) (4−5x)
Evaluate: (6 − 5xy) (6 + 5xy)
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
