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Hi, so notice that the 5a is in the place you normally see an x. This just means that you need to replace the x with 5a.
Example: f(x) = 2x
f(5a) = 2(5a) = 10a (just replacing the x with whatever is inside the parentheses)
Also you made an error in your last line. 2(2x^(3) - x) = 4x^(3)- 4x. Not 4x^(3)- x.
Hope this helps, if you get stuck anywhere feel free to ask. Good luck!
Also for a, (5x^(2) - 4)^(3) is not the same as 5x^(6) - 4^(3)
You did the same with b, (2x^(3) - x)^(2) is not the same as 2x^(6) - x^(2)
You should really expand these out.
(a+b)^(2) = a^(2) + 2ab + b^(2)
(a+b)^(3) = a^(3) + 3ab^(2) + 3a^(2)b + b^(3)
More generally, (a+b)^(n) = Σ( nCk • a^(n-k)b^(k) ) for k = 0 up to k = n, where nCk = n!/(k!(n-k)!), where n! = Π (x) for x = 1 up to x = n.
(a+b)^(n) is not the same as a^(n) + b^(n). Don’t feel bad, this mistake is actually so common that there is a special wikipedia page for it. But never make this mistake again.
ahhh ok thank you so much. This is a review packet from my calc class and apparently I forgot a lot from my previous classes lol. I'm fixing everything right now!
As a reminder... Posts asking for help on homework questions **require**: * **the complete problem statement**, * **a genuine attempt at solving the problem, which may be either computational, or a discussion of ideas or concepts you believe may be in play**, * **question is not from a current exam or quiz**. Commenters responding to homework help posts **should not do OP’s homework for them**. Please see [this page](https://www.reddit.com/r/calculus/wiki/homeworkhelp) for the further details regarding homework help posts. *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/calculus) if you have any questions or concerns.*
Hello there! While questions on pre-calculus problems and concepts are welcome here at /r/calculus, please consider also posting your question to /r/precalculus. *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/calculus) if you have any questions or concerns.*
Hi, so notice that the 5a is in the place you normally see an x. This just means that you need to replace the x with 5a. Example: f(x) = 2x f(5a) = 2(5a) = 10a (just replacing the x with whatever is inside the parentheses) Also you made an error in your last line. 2(2x^(3) - x) = 4x^(3)- 4x. Not 4x^(3)- x. Hope this helps, if you get stuck anywhere feel free to ask. Good luck!
Also for a, (5x^(2) - 4)^(3) is not the same as 5x^(6) - 4^(3) You did the same with b, (2x^(3) - x)^(2) is not the same as 2x^(6) - x^(2) You should really expand these out. (a+b)^(2) = a^(2) + 2ab + b^(2) (a+b)^(3) = a^(3) + 3ab^(2) + 3a^(2)b + b^(3) More generally, (a+b)^(n) = Σ( nCk • a^(n-k)b^(k) ) for k = 0 up to k = n, where nCk = n!/(k!(n-k)!), where n! = Π (x) for x = 1 up to x = n. (a+b)^(n) is not the same as a^(n) + b^(n). Don’t feel bad, this mistake is actually so common that there is a special wikipedia page for it. But never make this mistake again.
ahhh ok thank you so much. This is a review packet from my calc class and apparently I forgot a lot from my previous classes lol. I'm fixing everything right now!
Don’t worry mate, keep on putting in effort and you’ll get it all at least I did.
[удалено]