Advertisements
Advertisements
Question
Evaluate the following using identities:
(0.98)2
Advertisements
Solution
We have
(0.98)2 = [1 - 0.02]2
= (1)2 + (0.02)2 - 2 x 1 x 0.02
= 1 + 0.0004 - 0.04 [∵ a = 1, b = 0.02]
= 1.0004 - 0.04
= 0.9604
∴ (0.98)2 = 0.9604
APPEARS IN
RELATED QUESTIONS
Factorise the following using appropriate identity:
9x2 + 6xy + y2
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Give possible expression for the length and breadth of the following rectangle, in which their area is given:
| Area : 35y2 + 13y – 12 |
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Write in the expanded form:
(2a - 3b - c)2
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
If 3x − 2y = 11 and xy = 12, find the value of 27x3 − 8y3
Evaluate of the following:
(103)3
Find the following product:
Evaluate:
483 − 303 − 183
If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
Use the direct method to evaluate the following products:
(x + 8)(x + 3)
Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`
Simplify:
(2x + y)(4x2 - 2xy + y2)
Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16
