Question

Use Pascal's triangle and the pattern of decreasing powers of a and increasing powers of b to expand (3x + 2Y)^5.
I am unsure of how they want me to use Pascal's triangle with the coefficents.

Answer 1

Do you know what the pascals triange is?

Answer 2

yes itis
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1 and so on for infinty

Answer 3

Yes

Answer 4

I dont understand how to get the coefficents of the expanded form using just pascal's triangle

Answer 5

Now do you know that they are the "combinations"

Answer 6

I can get each one using the general term formula but it says to use pascal's triangle

Answer 7

yes I know that The coefficent is the number of ways for that spefic combination

Answer 8

See each line gives you all the coefficients of the nCn for their respective number of terms

Answer 9

yea now how do i change that with the coefficents infront of the variable without using the general term formula

Answer 10

Read this http://www.krysstal.com/binomial.html

Answer 11

k give me a sec

Answer 12

okay so just add the descending and ascending a and b values to the row of pascal's triangle?