Question

need help with Binomial Theorem
will medal

Answer 1

\[(3+y)^{4}\]

Answer 2

Hi!!

Answer 3

are you supposed to expand this?

Answer 4

are you familiar with pascal's triangle? i am attaching a picture of it
since the exponent is 4, we need to look at the fourth row in the triangle

Answer 5

well like do you know anything about the Binomial Theorem? Because that's what it is. Now I know that the numbers are like 1,4,6,4,1 but after that im confused

Answer 6

oh ok we got the 1,4,5,4,1 part

Answer 7

it is going to look like this
\[(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4\]

Answer 8

you have
\((3+y)^4\) so in your example \(a=3,b=y\)

Answer 9

ohhhhhh okay I think I get it. I think what confused me was I was like omg theres no a or b what will I do lol haha

Answer 10

lol yeah just plug them in except you will have to do some more arithmetic

Answer 11

\[(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4\\
(3+y)^4=3^4+4\times 3^3\times y+6\times3^2\times y^2+4\times 3\times y^3+b^4\]

Answer 12

you still have to find some numbers right?
like \(3^4=81\) and \(4\times 3^3=108\) blah blah

Answer 13

@ispike you got it from here?

Answer 14

lol thanks I just submitted the question and I got it correct

Answer 15

\(\color\magenta\heartsuit\)\(\color\magenta\heartsuit\)\(\color\magenta\heartsuit\)

Answer 16

@ispike thanks for the medal!!

Answer 17

lol no problem