Advertisements
Advertisements
प्रश्न
Evaluate the following using identities:
(0.98)2
Advertisements
उत्तर
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
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
95 × 96
Write the following cube in expanded form:
`[x-2/3y]^3`
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
Simplify: `(a + b + c)^2 - (a - b + c)^2`
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
If a + b = 8 and ab = 6, find the value of a3 + b3
If x = −2 and y = 1, by using an identity find the value of the following
If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Find the squares of the following:
(2a + 3b - 4c)
If `x + (1)/x = 3`; find `x^4 + (1)/x^4`
If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`
Simplify:
(4x + 5y)2 + (4x - 5y)2
The coefficient of x in the expansion of (x + 3)3 is ______.
Factorise the following:
16x2 + 4y2 + 9z2 – 16xy – 12yz + 24xz
