Advertisements
Advertisements
प्रश्न
Write in the expanded form:
`(2 + x - 2y)^2`
उत्तर
We have,
(2 + x - 2y)2 = [2 + x + (-2y)]2
= (2)2 + x2 + (-2 y)2 + 2(2)( x) + 2( x)(-2 y) + 2(2)(-2y )
[ ∵ (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca]
`=a^4 + b^4 + c^4 + 2a^2b^2 + 2b^2c^2 + 2a^2c^2`
`∴ (a^2 + b^2 + c^2)^2 = a^4 + b^4 + c^4 + 2a^2b^2 + 2b^2c^2 + 2a^2c^2`
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 4) (x + 10)
Evaluate the following using suitable identity:
(998)3
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Factorise the following:
27y3 + 125z3
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Simplify: `(a + b + c)^2 - (a - b + c)^2`
Evaluate of the following:
1043 + 963
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{5}{x} + 5x \right)\] \[\left( \frac{25}{x^2} - 25 + 25 x^2 \right)\]
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
If a1/3 + b1/3 + c1/3 = 0, then
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
Evaluate: (9 − y) (7 + y)
Evaluate: (2 − z) (15 − z)
Find the squares of the following:
9m - 2n
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Simplify by using formula :
(1 + a) (1 - a) (1 + a2)
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.
