Advertisements
Advertisements
Question
Using suitable identities, evaluate the following.
(995)2
Advertisements
Solution
We have,
(995)2 = (1000 – 5)2
= (1000)2 + (5)2 – 2 × 1000 × 5 ...[Using the identity, (a – b)2 = a2 + b2 – 2ab]
= 1000000 + 25 – 10000
= 990025
APPEARS IN
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 95 × 105
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
Find the value of x, if 4x = (52)2 − (48)2.
Find the value of x, if 14x = (47)2 − (33)2.
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Simplify: (2a + 3b + 4c) (4a2 + 9b2 + 16c2 – 6ab – 12bc – 8ca)
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Using suitable identities, evaluate the following.
(49)2
