Advertisements
Advertisements
Question
Using suitable identity, evaluate the following:
9992
Advertisements
Solution
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
RELATED QUESTIONS
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Simplify the following expressions:
`(x^2 - x + 1)^2 - (x^2 + x + 1)^2`
If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]
If \[x - \frac{1}{x} = 5\], find the value of \[x^3 - \frac{1}{x^3}\]
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
Evaluate of the following:
(9.9)3
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
Find the following product:
Use the direct method to evaluate :
(3b−1) (3b+1)
Use the direct method to evaluate :
(2a+3) (2a−3)
Evaluate: 203 × 197
Expand the following:
(2x - 5) (2x + 5) (2x- 3)
If p + q = 8 and p - q = 4, find:
p2 + q2
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Expand the following:
(–x + 2y – 3z)2
Find the following product:
`(x/2 + 2y)(x^2/4 - xy + 4y^2)`
