Question

I've been struggling a lot with math... can anybody help me?

An expression is shown below:
3x^3y + 12xy - 3x^2y - 12y
Part A ~ Rewrite the expression so that the GCF is factored completely
Part B ~ Rewrite the expression completely factored. Show the steps of your work.
Part C ~ If the two middle terms are switched so that the expression became 3x^3y - 3x^2y + 12xy - 12x, would the factored expression no longer be equivalent to your answer in part B? Explain your reasoning.

Answer 1

sure let me see if i can do it

Answer 2

the first one is 12xy-12y
i think

Answer 3

for part b u need to cancel both the 3x^3y

Answer 4

You would be able to cancel out the 3x^3y with the 3x^2y because they have like terms, right?

Answer 5

yes

Answer 6

but also cuz one was minus and one was plus

Answer 7

so +3x^3y-3x^3y

Answer 8

So you would just be left with xy.

Answer 9

my answer is wrong tho

Answer 10

i cant help u with tht question
the mods just messaged me

Answer 11

tht i was wrong

Answer 12

sry

Answer 13

It's ok. Thanks for trying. :)

Answer 14

np

Answer 15

here comes the mod

Answer 16

you can help, just dont make assumptions as to the correctness :) work together

Answer 17

sry

Answer 18

can u explain how its done

Answer 19

3x^3y + 12xy - 3x^2y - 12y: the GCF is all values that they share

3y is the common factor that they all share

Answer 20

so, factoring it out we get:

3y ( x^3 + 4x - x^2 - 4 )

Answer 21

oh i see

Answer 22

wht abt part b

Answer 23

i mean c

Answer 24

b is just showing steps :P

Answer 25

thats actually part B but inside the (..) is part A

Answer 26

So to get those number you just divided 3y by every term. Right?

Answer 27

correct

Answer 28

wht abt part C

Answer 29

does it matter if we do -2 + 5, or 5 - 2 ? in other words, does addition commute?

Answer 30

nope

Answer 31

C has an error in it .... 12x is not the last term of A, so it may be a typo

Answer 32

what is -2+5 ?

what is 5-2 ?

Answer 33

HMT wht grade math is this?

Answer 34

both are 3

Answer 35

9th grade math.

Answer 36

then they commute. the order in which you add 2 terms has no bearing on the outcome.

Answer 37

im 10th grade and we havent study these stuff yet :/

Answer 38

British curriculam bad

Answer 39

So it wouldn't matter which way you, because 3 divided by the numbers in part A are going to always be the same no matter which order they are put in.

Answer 40

im learning alot here :D

Answer 41

thats correct, at least its good enough for me :)

Answer 42

Thank you so much!!

Answer 43

good luck :)

Answer 44

i was just curious, whats that HMT ?
(asking because my initials are exactly HMT! :P)