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
Evaluate the following product without multiplying directly:
95 × 96
Factorise the following using appropriate identity:
9x2 + 6xy + y2
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Evaluate the following using identities:
(1.5x2 − 0.3y2) (1.5x2 + 0.3y2)
if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`
Find the following product:
(3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx)
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
If a - b = 4 and a + b = 6; find
(i) a2 + b2
(ii) ab
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`
The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.
Use the direct method to evaluate :
(3b−1) (3b+1)
Use the direct method to evaluate :
(ab+x2) (ab−x2)
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x3 – y3 is ______.
Factorise the following:
4x2 + 20x + 25
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
