Advertisements
Advertisements
प्रश्न
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
Advertisements
उत्तर
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
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 4) (x + 10)
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Evaluate the following using identities:
`(2x+ 1/x)^2`
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)`
Write in the expanded form (a2 + b2 + c2 )2
Write in the expanded form: (-2x + 3y + 2z)2
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`
Simplify of the following:
\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]
Evaluate: `(2"x"-3/5)(2"x"+3/5)`
Evaluate: `(2"a"+1/"2a")(2"a"-1/"2a")`
Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401
If x + y = 1 and xy = -12; find:
x - y
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a"^2 - (1)/"a"^2`
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
Find the following product:
(x2 – 1)(x4 + x2 + 1)
