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Normally with these types of problems, in which you've got a function nested within another function (e.g. log(sin(x)), e^(tan(x)), arctan(sec(x) + cos(x))), what they expect you to do is to make the most obvious substitution -- in this case, whatever the function inside arctan() was.
289^3 = 24137569
162954
172815752483604227520806540568074923102175232000000000*43 = 7431077356794981783394681244427221693393534976000000000
100357579839491421324510186160322254995456000000000*41 = 4114660773419148274304917632573212454813696000000000
162756
287^3 = 23639903
yes I solved it now. Thanks.
here comes another question:-
I posted a video solution to your problem here: https://www.youtube.com/watch?v=CCEq3ylr1OE
64331781948391936746480888564309137817600000000*39 = 2508939495987285533112754654008056374886400000000
285^3 = 23149125
162558
Let us know how you get on. If you would like, I can make videos about the questions you are having problems with.
45755179195157849748563932122552729600000000*37 = 1692941630220840440696865488534450995200000000
283^3 = 22665187
162360
I would have to agree with you. Truth be told, this is sort of a placeholder name while I think or something a little more creative. One disadvantage of this name is that it's terrible for Google searches: googling "learnmathsfree" will instantly return search results for "learn maths free" (with spaces), which my videos cannot compete with.
Update: Have started making video solutions to the problems. A solution to #1 has been recorded.
281^3 = 22188041
162162
36313634281871309324257088986152960000000*35 = 1270977199865495826348998114515353600000000
Number Theory was not too popular last year. It's difficult to gauge what people like on my course -- often 'easy' would be equated with enjoyment. In which case, everyone loves PDEs.
I always thought they were cool, too. They were not so popular among my peers, however.
279^3 = 21717639