Advertisements
Advertisements
Question
Simplify the following
`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`
Advertisements
Solution
We have
`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`
`= ((7.83 + 1.17)(7.83 - 1.17))/6.66` `[∵ (a^2 - b^2) = (a + b)(a - b)]`
`= ((9.00)(6.66))/(6.66)`
= 9
`∴ (7.83 xx 7.83 - 1.17 xx 1.17)/6.66 = 9`
APPEARS IN
RELATED QUESTIONS
Factorise the following:
27 – 125a3 – 135a + 225a2
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2
Simplify of the following:
\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]
If `x^4 + 1/x^4 = 194, "find" x^3 + 1/x^3`
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
If \[x^3 - \frac{1}{x^3} = 14\],then \[x - \frac{1}{x} =\]
Use identities to evaluate : (502)2
Use the direct method to evaluate the following products :
(y + 5)(y – 3)
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Use the direct method to evaluate :
(0.5−2a) (0.5+2a)
Expand the following:
(x - 5) (x - 4)
If x + y = 9, xy = 20
find: x - y
If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`
If x + y + z = p and xy + yz + zx = q; find x2 + y2 + z2.
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Using suitable identity, evaluate the following:
101 × 102
