Advertisements
Advertisements
Question
Evaluate the following by using identities:
983
Sum
Advertisements
Solution
983 = (100 – 2)3 [(a – b)3 = a3 – b3 – 3ab(a – b)]
= 1003 – (2)3 – 3(100)(2)(100 – 2)
= 1000000 – 8 – 600(98)
= 1000000 – 8 – 58800
= 1000000 – 58808
= 941192
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (79)2 − (69)2
Find the value of x, if 14x = (47)2 − (33)2.
Find the following product: (x − 3) ( x − 2)
Evaluate the following: 102 × 106
Evaluate the following: 109 × 107
2p is the factor of 8pq
Simplify:
(3x + 2y)2 + (3x – 2y)2
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Simplify:
(ab – c)2 + 2abc
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
