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Melody

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यूजर का नामMelody
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Melody  11 Feb 2022
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Ayee!:
Melody:
Ayee!:

(s+4v)^5



To do this the long way would take forever. you need to use a binomial expansion. do you know what that is?

If this is a serious question then you are getting too old to put a question out like this.
In any adult forum you would be expected to demonstrate what you know, or why you are stuck, etc
I am happy to help you but i want it to be an interactive learning experience.

what is your problem, why can't you do this?

Melody.



I didnt know how to do it i think thats why i asked. You dont have to be SO mean.



[size=150]I am sorry Ayee, I didn't mean to sound so blunt. [/size]

If you want to expand ( a + b ) 5
this is you it would be done

5C0*a 0*b 5 + 5C1*a 1*b 4 + 5C2*a 2*b 3 + 5C3*a 3*b 2 + 5C4*a 4*b 1 + 5C5*a 5*b 0

Please notice that the power on the a plus the power on the b adds up to 5 for every term. Do you see what I mean?
Now, there is a nCr button on your calculator so is you want 5C3 you press 5 nCr 3 = and the answer is 10 - Make sure you can do that on your calculator.
Also, a 0 = 1, b 0=1, a 1=a and b 1=b so you can simplify all those bits, so now we have.
And, 5C0=1 and 5C5=1

So now we have
1*1*b 5 + 5*a 1*b 4 + 10*a 2*b 3 + 10*a 3*b 2 + 5*a 4*b 1 + 1*a 5*1

= b 5 + 5*a*b 4 + 10*a 2*b 3 + 10*a 3*b 2 + 5*a 4*b + a 5

Now, your question is not (a+b) 5 It is (s+4v) 5

So everywhere that there was an 'a', you can put 's'
and everywhere there was a 'b', you can put (4v).

=(4v) 5 + 5*s*(4v) 4 + 10*s 2*(4v) 3 + 10*s 3*(4v) 2 + 5*s 4*(4v) + s 5

= 4 5v 5 + 5*s*4 4v 4 + 10*s 2*4 3v 3 + 10*s 3*4 2v 2 + 5*s 4*4v + s 5

= 4 5v 5 + 5*s*256*v 4 + 10*s 2*64*v 3 + 10*s 3*16*v 2 + 5*s 4*4v + s 5

= 4 5v 5 + 1280*s*v 4 + 640*s 2*v 3 + 160*s 3*v 2 + 20*s 4*v + s 5

And, assuming that I didn't make any mistakes, that is your answer. It looks horrible but it is not too bad when you get used to it.
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Now, if this is all totally alian to you, you could do it this way.

(S+4v)(s+4v)=answer1
answer1*(s+4v) = answer2
answer2*(s+4v) = answer3
answer3*(s+4v) = answer4

and answer 4 IS (s+4v) 5
You CAN do it this way, it just takes a little longer

[size=150]Now Ayee, am I forgiven, I really am sorry that i upset you[/size].
24 Jan 2014