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blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0I know about Pascal's triangle, but I don't know if that's what you're referring to.

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0Sure, do need an explanation of what it is, or do you have a problem you want me to look at?

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0Sure, do you know how to expand a binomial (something)^2?

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0Okay, let's start there then. Say you have something like (x + y)^2 and we want to expand that. You can rewrite (x + y)^2 so that it's like: (x + y)(x + y) Make sense so far?

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0Good, now we're going to multiply the first x in (x + y) to BOTH the (x + y) in the other term to get: x^2 + xy dw:1358369073609:dw

precal
 one year ago
Best ResponseYou've already chosen the best response.0pascal's triangle is use to expand

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0Great, then we move on and do the same thing with the first y. and get xy + y^2, so in total we have x^2 + xy + xy + y^2

precal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1358369198853:dwdo you see the pattern?

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0@precal, that's what im attempting to show. thanks for the visual though :)

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0perfect, so we have x^2 + xy + xy + y^2 which equals x^2 + 2xy + y^2, which is what precal's picture shows

precal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1358369387693:dwthen notice what is happening to the x powers and then the y powers

precal
 one year ago
Best ResponseYou've already chosen the best response.0x powers start at 2 while y start at 0

precal
 one year ago
Best ResponseYou've already chosen the best response.0this is the pattern you will follow for you problem

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0Now, if we wanted to take that further like (x +y)^3 (like your problem) we can do two things.

precal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1358369548166:dwyou will use the 3rd row

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0We could multiply (x + y)(x^2 + 2xy + y^2) And do the EXACT same thing like how we were multiplying the x to the second term and then the y to the second term.

blurbendy
 one year ago
Best ResponseYou've already chosen the best response.0That would give us the correct answer, OR we could use the pattern precal is showing us.

precal
 one year ago
Best ResponseYou've already chosen the best response.0be careful with your second term because of the negative, just simplify and you are done
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