SOLUTION: (r+4)^4 I need help solving this one. Thank you

Question 75663: (r+4)^4 I need help solving this one.
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You could write this as
and multiply this out the long way, but there is a much faster way to tackle these sort of problems. We're going to use Binomial Expansion to expand this term. The general rule to expand is that we start out with and for each term we decrement n for a and increment the exponent for b so the 2nd terms looks like until we get to for our last term. The coefficient (c) that is placed in front of each term is found in Pascal's triangle. So for we need to look at the row containing:
1,4,6,4,1
And these coefficients are placed in front of the variables. So if we have
it becomes
Notice the terms in the parenthesis are the coefficients

Hope this makes sense. If not just look at row containing
1,2,1
This is the row of coefficients that are appended to the expansion of

which expands to:

which can be written as:

and you can see the coefficients from the triangle in the parenthesis.
RELATED QUESTIONS
(r+4)4 Hi, I need help solving this one. I couldn't submit the format properly, not... (answered by Earlsdon)

I need help by solving this quatric equastion 4x^4-37x^2+9=0 Thank... (answered by shree840)

I need help solving this equation: x^2 - 2x = 8. I get -2x(x+4) thank you for your... (answered by scott8148)

4. I need help solving this using factoring. I appreciate all help. Thank you.... (answered by checkley77)

I need help solving this problem. I am no good with fractions. Thank you!... (answered by rfer)

hey i need help solving this rational equation. Here it is: 1/x - 1/6 = 4/3x^2... (answered by ankor@dixie-net.com)

i need help i'm having trouble solving this problem solve the equation 5 radical... (answered by solver91311)

I need help in solving equations by factoring: 2t^2+7t=4. THANK... (answered by stanbon)