Question

Medal + Fan

Please!! I really need to finish this its holding me back in my classes and i don't get any of it no matter what i do please help me finish just give me a reasonable answer even if its wrong i just want to turn this in already. I KNOW ITS LONG sorry (attached picture)

Answer 1

@zepdrix @bookworm00981 @jigglypuff314 if you guys can help me if not and you dont get it its fine thank you anyway (:

Answer 2

rectangles...
area of rectangle = (length)(width)

the wall is just a big rectangle minus little rectangle
so (( 5x^2 y^3 )^3) ((4y^2)^3) - (4y^4) (3x)

Answer 3

Is that for part A? and thank you so much i just want to get this done wish i could repay you

Answer 4

mmm, might be a mouthfull, but try to simplify the thing I gave above ^
you'll need it for part B...

Answer 5

okay thanks let me do that now

Answer 6

hold on... I'm watching Pokemon :DD

Answer 7

Um lol okay

Answer 8

mmm
to simplify (( 5x^2 y^3 )^3) ((4y^2)^3) - (4y^4) (3x)

exponents to an exponent multiplies
like (x^2)^3 = x^6
so (( 5x^2 y^3 )^3) ((4y^2)^3) - (4y^4) (3x)
becomes (125x^6 y^9)(64y^6) - (4y^4) (3x) then multiply

when multiplying same variables that have exponents, the exponents add
like x^2 x^5 = x^7
so (125x^6 y^9)(64y^6) - (4y^4) (3x)
becomes 8000 x^6 y^15 - 12 x y^4

Answer 9

Thank you I was stuck on that!

Answer 10

so now for part B
it basically wants you to factor out a 4xy^4 from
8000 x^6 y^15 - 12 x y^4


an example of factoring like that would be
8x^3y - 2xy^2 = 2xy ( 4x^2 - y )

Answer 11

so by dividing right?

Answer 12

yep :) (but I personally don't know how to do that XD so I factor :P )

Answer 13

ah okay and i dont know either lol my teacher makes us a quiz of things we havent learned yet the last thing i learned was how to divide monomials not this

Answer 14

if you're going to divide, divide each separately

so 8000 x^6 y^15 divided by 4xy^4

and 12 x y^4 divided by 4xy^4 separately :P

Answer 15

okay let me give this a try

Answer 16

im pretty sure i did this wrong im sorry but for the first one i got 2000 x^7 y^19

Answer 17

mmm go the other way with the exponents I think :)

Answer 18

I got 2000 x^5 y^11

Answer 19

oh okay thank you and for the second one is this right or wrong? 3 x^2 y^8

Answer 20

mmm I think the point of dividing by 4xy^4 was so that the second would be left with no exponents...
I got 3

Answer 21

cuz then to check the work
4xy^4 times 3 = 12xy^4

Answer 22

ohh could you show me the way you did it to see if i understand better? if its no problem

Answer 23

mmm the reasoning was that when divided same variables that have exponents
the exponents subtract

for example x^7 / x^4 = x^(7-4) = x^3

so 8000 x^6 y^15 / 4xy^4
8000 / 4 = 2000
x^6 / x = x^(6-1) = x^5
y^15 / y^4 = y^(15-4) = y^11

so 8000 x^6 y^15 / 4xy^4 = 2000 x^5 y^11

Answer 24

Ohhh okay thank you for showing me the steps

Answer 25

the rule works like that because
for example

x^7 x*x*x*x*x*x*x
--- = -------------- (then cancel out four x's from top and bottom)
x^4 x*x*x*x

= x*x*x = x^3

so x^7 / x^4 = x^(7-4) = x^3

Answer 26

Thank you so much! so for B the answers would be 2000 x^5 y^11 & 3?

Answer 27

2000 x^5 y^11 - 3

Answer 28

then part C (which has nothing to do with part b)

subtract another 12xy^4 from the original area of the wall

so 8000 x^6 y^15 - 12 x y^4 - 12 x y^4 (add like terms)

Answer 29

okay hold on let me do it

Answer 30

8000 x^6 y^15 - 12 x y^4 - 12 x y^4

the last two have same variables so you can add the number parts of it together

Answer 31

im sure i have done it wrong once again but i got -24y^4x+800y^15x^6 if i did it wrong sorry ): math is the hardest subject for me

Answer 32

mmm 8000 not 800
other than that, it's correct! :)

tho typically variables should be in alphabetical order XD
but Great Job!!! :D

Answer 33

ohhh could you show me how it would look like then? (: if you dont mind... it says i have to show my work and i want to make sure i put in the right work lol and THANK you so much! i have been at this for a week!

Answer 34

I got 8000 x^6 y^15 - 24 x y^4 in the end :)

Answer 35

if you want the details >,<

8000 x^6 y^15 - 12 x y^4 - 12 x y^4 (factor)
8000 x^6 y^15 - (xy^4)(12+12) (add like terms)
8000 x^6 y^15 - (xy^4)(24) (distributive)
8000 x^6 y^15 - 24 x y^4

Answer 36

Thank youso much! I feel a great weight has lifted off my shoulders thank you so much! now i can finally move on with my work im really sorry for wasting your time on me lol (: im not the smartest in math at all

Answer 37

It wasn't a waste of time at all :)
I'm glad I could help!
and don't worry, everyone starts off being not good at math :P
practice makes perfect! :D
(I'm failing math right now :P )
LOL good night ;)

Answer 38

Aww and thank you again good night! i just have one more question sorry it wont take long. So i have to show examples of how to add and subtract polynomials I Got that but it asks me to explain why the polynomial is or is not closed over addition or subtraction based on the problem provided. do you know what that means?

Answer 39

err...
I don't remember, but I have a vague feeling that I've searched it up before to help on a question like that... :/
I think it ended up being a rather simple concept (like if it has addition in it, then it is closed over addition) or something...
but I'm not sure, so it might be better for you to ask someone else :P

Answer 40

Okay thank you so much anyway again lol good night!

Answer 41

good night :)
and maybe this vid? idk :P
http://learnzillion.com/lessons/3552-apply-the-closure-property-to-sets-of-elements