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
Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2`
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Simplify: (2a + 3b + 4c) (4a2 + 9b2 + 16c2 – 6ab – 12bc – 8ca)
Simplify:
(x2 – 4) + (x2 + 4) + 16
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Using suitable identities, evaluate the following.
47 × 53
Perform the following division:
(3pqr – 6p2q2r2) ÷ 3pq
