Question

How do you expand `(r+3)^5` using Pascal’s Triangle?

Answer 1

See below

Explanation:

Look at 5th row in Pascal' triangle (1, 5, 10, etc)

Then the Binomial theorem applyed to this case

`(r+3)^5=1·r^5·3^0+5·r^4·3+10·r^3·3^2+10·r^2·3^3+5·r^1·3^4+1·r^0·3^5=r^5+15r^4+90r^3+90r^2+135r+243`