Advertisements
Advertisements
प्रश्न
Using suitable identity, evaluate the following:
9992
Advertisements
उत्तर
9992 = (1000 – 1)2
= (1000)2 + (1)2 – 2 × 1000 × 1 ...[Using identity, (a – b)2 = a2 + b2 – 2ab]
= 1000000 + 1 – 2000
= 998001
APPEARS IN
संबंधित प्रश्न
Factorise the following using appropriate identity:
4y2 – 4y + 1
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
Evaluate the following using identities:
(399)2
If 3x − 2y = 11 and xy = 12, find the value of 27x3 − 8y3
If \[x + \frac{1}{x} = 3\], calculate \[x^2 + \frac{1}{x^2}, x^3 + \frac{1}{x^3}\] and \[x^4 + \frac{1}{x^4}\]
Find the following product:
Find the following product:
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 \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to
Evalute : `((2x)/7 - (7y)/4)^2`
Use the direct method to evaluate the following products :
(y + 5)(y – 3)
Simplify by using formula :
(2x + 3y) (2x - 3y)
If p + q = 8 and p - q = 4, find:
p2 + q2
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a"^2 - (1)/"a"^2`
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
Find the following product:
(x2 – 1)(x4 + x2 + 1)
