anonymous
  • anonymous
A manufacturer of shipping boxes has a box shaped like a cube. The side length is (5a + 4b) . What is the volume of the box in terms of a and b?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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calculusxy
  • calculusxy
\[\large (5a + 4b)^3\] it is like: \[\large (5a+4b)(5a + 4b)(5a + 4b)\] i would use FOIL so let's start with \[\large (5a+4b)(5a+4b)\]
calculusxy
  • calculusxy
\[\large (5a \times 5a) + (5a \times 4b) + (4b \times 5a) + (4b \times 4b)\]
calculusxy
  • calculusxy
\[\large (5a + 4b)(25a^2 + 20ab + 20ba +16b^2)\]

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calculusxy
  • calculusxy
Continue using FOIL
anonymous
  • anonymous
whenever i watched the example video it had something to do with some kind of triangle not foil let me up load the video real quick
anonymous
  • anonymous
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/pascals-triangle-binomial-theorem
calculusxy
  • calculusxy
i think i understand this: |dw:1442099987991:dw|
calculusxy
  • calculusxy
the way that you get the numbers is by finding how many ways to get to the end. we have only went to the 3rd exponent because when trying to find the volume of cube, the side length is raised to the third power
anonymous
  • anonymous
ok im following so far i understood how to do the triangle thing but what i was confused about is how to apply that to the question i had
calculusxy
  • calculusxy
we are going to use 1, 3, 3, 1 for the exponents to 5a and 4b we will go from greatest to lowest (descending) \[1(5)a^34b^0 + 3(5)a^24b^1 + 3(5)a^14b^2 + 1(5)a^04b^3\]
calculusxy
  • calculusxy
the problme is whether i should multiply the 1, 3, 3, 1 to 4
anonymous
  • anonymous
i understand but why would u have to mutiply that in the video it just left everything like you have it in the post before this . i dont understand how your suppose to get the volume out of that but i did get how you got the (equation/ i guess you would call it that )
calculusxy
  • calculusxy
you have a number front of the variable and that is causing some problems .. n the video it was only a variable
calculusxy
  • calculusxy
*in
anonymous
  • anonymous
:/
calculusxy
  • calculusxy
\[\large 5a^34b + 15a^212b + 15a12b^2 + 20b^3\]
calculusxy
  • calculusxy
this is what might happen if you do multiply 1,3,3,1 to 4.
anonymous
  • anonymous
i just dont understand how you get all that down to one simply number ?
calculusxy
  • calculusxy
\[1(5)a^3(1)4b^0 + 3(5)a^2(3)4b^1 + 3(5)a^1(3)4b^2 + 1(5)a^0(1)4b^3\]
calculusxy
  • calculusxy
i basically used what the video had said.
calculusxy
  • calculusxy
@Mehek14 @mathmate
anonymous
  • anonymous
oh i understand that i just dont understand how you get the volume out of that .
calculusxy
  • calculusxy
i am completely new to this and i tried my best to help you out
anonymous
  • anonymous
thanks so much i really appreciate it . and i am too my teacher just sends me the video and expects me to just get it im going to look though my text book and see if i can find anything that will help me more !
mathmate
  • mathmate
@calculusxy @iloveyoukarsonlee Recall that \(\Large (ab)^n = a^n\times b^n\) so (5a+4b)^3 =\((1)(5a)^3+(3)(5a)^2(4b)+(3)(5a)(4b)^2+(1)(4b)^3\) =\(125a^3+300a^2b+240ab^2+64b^3\)
calculusxy
  • calculusxy
calculusxy
  • calculusxy
that my was my work.. if u can understand my handwriting hopefully it can help u understand my process
anonymous
  • anonymous
yes that helps so much thank you both !!!

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