Advertisements
Advertisements
Question
Evaluate the following without multiplying:
(1005)2
Sum
Advertisements
Solution
(1005)2
= (1000 + 5)2
= (1000)2 + 2(1000)(5) + (5)2
= 1000000 + 10000 + 25
= 1010025.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
Find the following product:
(x2 − 1) (x4 + x2 + 1)
If x = −2 and y = 1, by using an identity find the value of the following
\[\left( 5y + \frac{15}{y} \right) \left( 25 y^2 - 75 + \frac{225}{y^2} \right)\]
If a + b = 7 and ab = 10; find a - b.
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
Expand the following:
`(1/x + y/3)^3`
Find the value of x3 – 8y3 – 36xy – 216, when x = 2y + 6
Simplify (2x – 5y)3 – (2x + 5y)3.
Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b)(b + c)(c + a).
