Simplify the given expression:
[(2.3)3 + (15.9) ³ + (3.7) ³ – 3 × 2.3 × 15.9 x 3.7)] / [(2.3) ² + (15.9) ² + (3.7) ² – 2.3 × 15.9 – 15.9 × 3.7 – 3.7 × 2.3]
Let a = 2.3, b = 15.9 and c 3.7. Then [a3+b3+c3 -3abc]/[a2+b2+c2-ab-bc-ca] … (1) As we know that – a3+b3+c3 -3abc = (a+b+c) [ a2+b2+c2-ab-bc-ca] Put the value in Eq (1). = (a+b+c) [ a2+b2+c2-ab-bc-ca] / [ a2+b2+c2-ab-bc-ca] The term [ a2+b2+c2-ab-bc-ca] cancel out and leave – =(a+b+c) =2.3 +15.9 +3.7 =21.9.
Choose the correct synonym of the word highlighted in each sentence from the alternatives given below it.
There was a look ecstasy on his face....
For three decades (A) the Americans had occupy (B) the favoured position in terms of its relations with Russia and China and the disintegration (C...
a feeling of deep regret or guilt for doing something wrong
The room was dim and hard to see in.
Recoup
The sad part of the agitation is that most of the leaders are only paying lip-service to the issue.
A high area of rock with a steep side
VAUNT
A) Puzzle B) Mingled C) Separate D) Wonderful
...RELINQUISH
