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: (467)2 − (33)2
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Evaluate the following: 102 × 106
Evaluate the following: 53 × 55
On dividing p(4p2 – 16) by 4p(p – 2), we get ______.
Simplify:
(ab – c)2 + 2abc
Simplify:
(s2t + tq2)2 – (2stq)2
Expand the following, using suitable identities.
(0.9p – 0.5q)2
Perform the following division:
(ax3 – bx2 + cx) ÷ (– dx)
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
