Advertisements
Advertisements
Question
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
Advertisements
Solution
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
RELATED QUESTIONS
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Find the cube of the following binomials expression :
\[\frac{3}{x} - \frac{2}{x^2}\]
If \[x - \frac{1}{x} = 5\], find the value of \[x^3 - \frac{1}{x^3}\]
Evaluate of the following:
933 − 1073
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
(9y2 − 4x2) (81y4 +36x2y2 + 16x4)
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.
Evaluate: 203 × 197
Expand the following:
(3x + 4) (2x - 1)
Expand the following:
`(2"a" + 1/(2"a"))^2`
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a"^2 - (1)/"a"^2`
If `"p" + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`
If `"r" - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`
Simplify:
(2x + y)(4x2 - 2xy + y2)
Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16
The coefficient of x in the expansion of (x + 3)3 is ______.
