Question

Need help with Distribution Method- Please explain

Answer 1

Example: (9m+10)⋅2

Answer 2

Do you mean the distributive property?

Answer 3

Yeah, something along those lines

Answer 4

Okay. For some numbers, \(a,b,c\), the distributive property says that
\[a(b+c)=ab+ac\]
How would you apply that here?
\[(9m+10)\cdot2\]

Answer 5

...

Answer 6

like m = a?

Answer 7

Not quite. You would have \(a=9m\).\[(9m+10)\cdot2=9m\cdot2+10\cdot 2\]
From here you just simplify..

Answer 8

Okay, so 18+m+20?

Answer 9

wait 18m +20

Answer 10

Yes

Answer 11

thats it?

Answer 12

could you help with more?

Answer 13

Yeah that's it. Go ahead and post your questions

Answer 14

-6(a+8)

Answer 15

i think it is -6a+8a and that would be 2a?

Answer 16

No, there's a slight mistake there. It should be
\[-6(a+8)=-6a+(-6)8=-6a-48\]

Answer 17

I don't quite understand.

Answer 18

why did you use -6 instead of a? does it change every time? and is there a way to tell which one you need to use?

Answer 19

Maybe some color coding will clarify:
\[\color{red}{a}(\color{blue}{b}+\color{green}{c})=\color{red}{-6}(\color{blue}{a}+\color{green}{8})\]
Basically, the \(a\) on the right is NOT the same as the \(a\) on the left. The left numbers, \(a,b,c\) are variables; they can take on any possible value, even other variables. We use the same letters, but they don't represent the same things.

Answer 20

Oh i understand, a bit more

Answer 21

what about
5(3-8) +7
is there one for out side or do i take five to the 7 also, and when do i kn

Answer 22

hen to use this property

Answer 23

like if i see it on a test i can tell what property to use

Answer 24

5(3x-8)+7*

Answer 25

No, the number outside the parentheses only applies to the numbers inside the parentheses.
\[5(3x-8)+7~~\Rightarrow~~5(3x)+5(-8)+7=\cdots\]

Answer 26

Oh ok, so

Answer 27

15x+-40+7=15x-33?

Answer 28

Yeah that's right

Answer 29

Thanks you so much!
you literally saved my life

Answer 30

you're welcome!

Answer 31

:) have a wonderful day. hope to talk another time

Answer 32

Thanks, you too!