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*_Artist_*
 3 years ago
Simplify (2 x  9)(4)can someone help me...No straight answers please...
*_Artist_*
 3 years ago
Simplify (2 x  9)(4)can someone help me...No straight answers please...

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polpak
 3 years ago
Best ResponseYou've already chosen the best response.0You just have to distribute the multiplication to each term \[(a + b)(c) = ac + bc\]

dariam
 3 years ago
Best ResponseYou've already chosen the best response.0isnt it multiplying? (2*9)

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0So in your case you have (2x 9)(4) which is the same as (2x + (9))(4)

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Oh, is that x for multiplication? or is it an x.

dariam
 3 years ago
Best ResponseYou've already chosen the best response.0i think its multiplying... idk

*_Artist_*
 3 years ago
Best ResponseYou've already chosen the best response.0i think it is just an x

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0So did that make sense with what you need to do Artist, or do you need a bit more help?

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Ok lets try this. When you multiply a sum (a + b + c+ ...) by a number k. You simply multiply each of the terms in the sum by that same number k.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0So in your case, what is the sum you're multiplying ?

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Not quite. (2x  9) is a sum.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Specifically it is the sum of 2x and 9

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0You know what a sum is right?

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0One of the most important things to learn in math is the vocabulary. Otherwise it is very difficult to understand what we are talking about if we aren't using the same words for things.

*_Artist_*
 3 years ago
Best ResponseYou've already chosen the best response.0A sum is the answer of two numbers added together...

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Close. Actually a sum is a sequence of terms added together. 2 is not a sum. 2 + 3 is a sum. 2*5 is not a sum. 2+3 + 2*5 is a sum.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Now then. For each of the sums I listed above, count the number of terms in each sum.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Close. But notice that the 2 is not being added to the 5, it's multiplied. The terms of a sum are _ONLY_ the things being added together.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0So how many terms does that last sum have?

*_Artist_*
 3 years ago
Best ResponseYou've already chosen the best response.0*Lightbulb*...Okay...

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0I am glad I fanned you btw. You've been the best student I've seen here in a long time.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Ok so now. Going back to what I was saying before.. If you have a number k multiplied by a sum. You simply distribute the multiplication of k to each term in the sum.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0So lets look at your problem again.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0(2x  9)(4) What is the sum, and what is k?

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Yes!. But I get confused easily, so can you rewrite that as an equivalent sum (equals the same thing) so that it is explicitly two terms being _ADDED_ together?

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Can you rewrite subtraction as adding a negative?

polpak
 3 years ago
Best ResponseYou've already chosen the best response.029 = 2+(9) 7 = 7 Right?

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0So do the same thing to the subtraction you have in your sum

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0I like my sums to only have addition.

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0So now you have this sum (2x + 9) and you're multiplying it by (4). So to do that you just multiply each term in the sum by the 4. (a + b)(c) = a*c + b*c

polpak
 3 years ago
Best ResponseYou've already chosen the best response.0Close. Don't forget your x.
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