Expert Answers
kingattaskus12 eNotes educator| Certified Educator

Multiply `-4` by each term inside the parentheses.

`12-12x+9(x+1)`


Multiply `9` by each term inside the parentheses.

`12-12x+9x+9 `


Add `9` to `12 ` to get `21` .

`21-12x+9x`


Since `-12x` and `9x` are like terms, subtract `9x` from `-12x` to get `-3x` .


Thus, the answer is `-3x + 21`

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justaguide eNotes educator| Certified Educator

The expression -4(3x-3)+9(x+1) has to be simplified.

-4(3x-3)+9(x+1)

First, open the brackets.

= -4*3x - 3*-4 + 9*x + 9

= -12x + 12 + 9x + 9

Combine similar terms

= -3x + 21

The simplified form of the expression -4(3x-3)+9(x+1) is -3x + 21

baxthum8 eNotes educator| Certified Educator

Simplify `-4(3x-3) +9(x+1)` .

Use the distributive property: `a(b+c) = ab+ac.`

`-12x + 12 + 9x + 9`

Now combine like terms.

`-3x + 21`

or `-3(x-7)`

malkaam | Student

-4(3x - 3) + 9(x + 1)

To simplify this follow the rules of BODMAS or PEMDAS, first we remove the brackets,

-4(3x - 3) + 9(x + 1)      

Then we add or subtract whichever is needed

-12x + 12 + 9x + 9

-3x + 21

Now factor out to simplify it more,

-3x + 21

-3 (x - 7) Answer.

jess1999 | Student

-4 ( 3x - 3 ) + 9 ( x + 1 )

To solve this , first distribute the -4 and the 9 .

By distributing , you should get

-12x + 12 + 9x + 9 now combine -12x with 9x .

By combining -12x with 9x , you should get

-3x + 12 + 9 now combine 12 with 9 .

By combining 12 with 9 , you should get

-3x + 21 now we have to find the greatest common factor .

By finding the greatest common factor , you should get .

-3 ( x - 7 ) which is your answer .

atyourservice | Student

`-4(3x-3)+9(x+1) ` the first thing is to distribute the numbers outside of the parentheses

-12x+12+9x+9  combine like terms

12+9=21

9x-12x=-3x 

-3x+21  find the greatest common factor the answer is 

-3(x-7)

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