Question

Zoe factored the expression 16x - 28y + 24xy.
Identify the term that is incorrect in her answer.

4(4x - 7y + 12y)

A. 4
B. 4x
C. 7y
D. 12y

Answer 1

Combine like term inside the parenthesis

Answer 2

How exactly?

Answer 3

First, work inside the parenthesis. Recall PEMDAS

Answer 4

4 - 7 + 12 = Negative something? What am I missing.

Answer 5

\(4(4x \color{red}{-7y + 12y})\)
-7y +12y are like terms, so add those up first.

Answer 6

didn;'t know 7 was negative mb.

Answer 7

4x is a different term. You don't add those with y.

Answer 8

OH

Answer 9

-7 + 12 = 5

Answer 10

so 4x and 5y?

Answer 11

Yes.
\(4(4x \color{red}{-7y + 12y})\)
\(4(4x \color{red}{+5y})\)

Answer 12

Now, distribute the 4 in.

Answer 13

LOL rhonda pls

Answer 14

ok

Answer 15

which 4? the 4x or the 4 outside the parenthesis?

Answer 16

Ronda, that is incorrect and please don't give direct answers (even though is not the answer).

Answer 17

Is it wrong to laugh at her..? XD

Answer 18

No. Anyways. Did you distribute the 4 into the parenthesis?

Answer 19

I don't know how? would it be like 4 + 4x?

Answer 20

I'm no human calculator XD

Answer 21

Are you familiar with distributing?

Recall the distributive property:
\(\Large a(b+c)=ab+ac\)

Answer 22

Not exactly familiar with it. Would I do somethign like? 4+4x = 8x?

Answer 23

16x + -28y + 24xy

Reorder the terms:
16x + 24xy + -28y

Factor out the Greatest Common Factor (GCF), '4'.
4(4x + 6xy + -7y)

Final result:
4(4x + 6xy + -7y)

therefore; 12y would be the incorrect term

Answer 24

Or would I do something like 4+4x = 8x and 4 + 5y = 9y?

Answer 25

Imagine a is 4, b is 4x, and c is 5y
so
\(4(4x+5y)=?\)

Answer 26

I think I am getting it a little bit better.

Answer 27

4b + 4c?

Answer 28

Actually, i read your question wrong :|

Answer 29

o

Answer 30

Zoe factored the expression \(16x - 28y + 24xy. \)
I thought we were just simplify this expression \(4(4x - 7y + 12y)\)

Answer 31

Can you factor this expression \(16x - 28y + 24xy\) ?

Answer 32

My apologies @AnimeWover

Answer 33

I factored it!

Answer 34

I told you what was wrong!

Answer 35

and i explained it!

Answer 36

was rhona actually right?

Answer 37

@AnimeWover IS there a common factor in this expression 16x - 28y + 24xy?
I doesn't mattr who's write, this site is not for direct answer but rather letting the asker do all the work while tutors make corrections.

Answer 38

16x + -28y + 24xy

Reorder the terms:
16x + 24xy + -28y

Factor out the Greatest Common Factor (GCF), '4'.
4(4x + 6xy + -7y)

Final result:
4(4x + 6xy + -7y)

24y is incorrect

Answer 39

Rhona strikes again! and common factor? What do u mean by that

Answer 40

it means that it can all be divided by one specific number

Answer 41

Then yes. 4?

Answer 42

yep

Answer 43

and i meant 12y not 24y lol

Answer 44

@AnimeWover can you please show your work on why you think the answer is C?
So if i said Rhonda is right, then that means you understood every concept in this question?

Answer 45

What I would do is find a common factor to divide the numbers stated with?

Answer 46

That is stated*

Answer 47

yes exactly!

Answer 48

most times, it is obvious and if there isnt one, then you can always just leave it simplified as it is

Answer 49

Still Rhonda, Zale helped me by carefully explaining everything. @RhondaSommer You could learn a thing or two from @Zale101

Answer 50

Find the comon factor, compare it with \(4(4x - 7y + 12y)\) and see where is the mistake.

Answer 51

common*

Answer 52

XD

Answer 53

makes sense? :)

Answer 54

Yes

Answer 55

12y is incorrect

Answer 56

it would be 6y

Answer 57

24 / 4 = 6

12y is the incorrect term

Answer 58

6xy

Answer 59

..?

Answer 60

look at the question. it is (xy) not just y thats one of the reasons it is wrong

Answer 61

brb...zale can you explain it to her? family stuff...

Answer 62

\(16x - 28y + 24xy\)
4 is the common factor
\(4(4x - 7y + 6xy)\) compare this with \(4(4x - 7y + 12y)
\)

Answer 63

Alright, take care @RhondaSommer !

Answer 64

ohhh

Answer 65

everything seems similar except what?

Answer 66

I kinda get it? I think

Answer 67

Is \(4(4x - 7y + 6xy)\) similar to \(4(4x - 7y + 12y)\)?

Answer 68

Yes or no?

Answer 69

No. 6 has xy while the 12 has y

Answer 70

the first one has 6xy, the second one has 12y at the end. So 12y should not be there.

Answer 71

true