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].