Question

The question will be posted in the comments because it is a long equation

Answer 1

Which of the following expressions is equivalent to \[3((^{6x-3})/_{3})-3(9x+9)\]

@Nnesha can you help me on this? its not for a grade I'm just practicing

Answer 2

@Nnesha

Answer 3

@phi

Answer 4

@Nnesha can you please help me with this? I don't understand any of this

Answer 5

@Jaynator495

Answer 6

@phi

Answer 7

do you mean
\[ 3\left(\frac{6x-3}{3}\right)-3(9x+9)
\] ?

Answer 8

um I don't know it was shown like this

Answer 9

maybe we can reverse engineer it. what choices do they give ?

Answer 10

Ignore the highlighted one... I took a guess then decided to come on here for help

Answer 11

even though its not worth any points, the fact it could be on the test I want to figure out how to do this type of problem..

Answer 12

the choice you show is what you get if you simplify the expression I posted.

Answer 13

so I think the expression I posted is what they meant

to simplify, you could (there are a few ways) do this
6x-3 -27x - 27
-21x -30
then factor out -3
-3(7x+10)

Answer 14

sorry @phi I had to go for a few minutes someone came to my front door, with the first part, 3(6x-3/3) how do you loose the 3 on the bottom and outside while still having 6x-3?

Answer 15

@Nnesha do you know how he got that?

Answer 16

you can cancel 3
\[\rm \cancel{3}(\frac{6x-3}{\cancel{3}})-3(9x+9)\]

Answer 17

and distribute the (9x+9) by -3
distributive property \[\rm \color{ReD}{a}(b+c)=\color{Red}{a}*b+\color{Red}{a}*c=\color{reD}{a}b+\color{ReD}{a}c\]

Answer 18

ok, then distribute and solve as though it was a normal factor?

(6x-3)(-27x-27)

solve for that?

Answer 19

it is (-27x-27) right?

Answer 20

yes, but you are adding not multiplying

Answer 21

wait what do you mean by that?... Im confused now... what do I add?

Answer 22

after distributing by -3 we will combine like terms
so it's not (6x-3)(-27x-27)
\[\rm \cancel{3}(\frac{6x-3}{\cancel{3}})\color{Red}{-}3(9x+9)\]
it would be \[(6x-3)-3(9x+9)\]
you can remove parentheses after applying distributive property
6x-3-27x-27

Answer 23

ohhhhh ok, when you take off the parentheses, (, )-(, ) does the - in the middle change it to a (27x-27)? or does the - not do anything but disappear?

Answer 24

it's -3 you should distribute (9x+9) by -3

Answer 25

it would change the sign of
-3*9x -3*9

Answer 26

oh ok I get it thanks

Answer 27

alright nice, np