Question

Please help!!
Expand (x + 3)6 using Pascal’s Triangle

Answer 1

@PeterPan do you know?

Answer 2

yeah.... :)
Just looking for the best way to tell you ^.^

Answer 3

thanks

Answer 4

Okay, Pascal's Triangle... This is going to be interesting~

Answer 5

non of this fancy stuff is nessecary you can just tell me what numbers are in which rows

Answer 6

Well, if you have this fancy stuff down, can you work it out until the sixth row? :)

Answer 7

yes i think so. i just dont know how to start them
like how would i start this (4x – 3y)4

Answer 8

Ahh, well, always work from x to y... like this
\[\huge <?>x^4 \ + \ <?>x^3y \ + \ <?>x^2y^2 \ + ...\]

Answer 9

? looks complex

Answer 10

Start with x raised to the power, and take away one from the exponent of x at at a time and give it to y.

The <?> get filled in by the numbers you found using Pascal's Triangle.

Answer 11

ok then, how do find the numbers on the triangle

Answer 12

I thought you already had it down? :/

Answer 13

i do for (x + 3)6 not for (4x – 3y)4

Answer 14

yeah, so find the sixth row of pascal's triangle... every number is the sum of the two numbers above it

There, I just did the third row for you. Do it three more times.

Answer 15

ok is that (x+3)^6? thanks btw

Answer 16

Yes, whatever you get in the sixth row of the triangle, those would be the coefficients (in that order!) that fill in the <?> I put in ^.^