anonymous
  • anonymous
what is the full expansion of (3x+2)^4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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bahrom7893
  • bahrom7893
rewrite as: [3x+2]^2 * [3x+2]^2
bahrom7893
  • bahrom7893
(9x^2 + 2* 6x + 4) * (9x^2 + 2* 6x + 4)
bahrom7893
  • bahrom7893
(9x^2 + 12x + 4) * (9x^2 +12x +4)

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bahrom7893
  • bahrom7893
now multiply these out
bahrom7893
  • bahrom7893
still workin on it.. have to write it out
anonymous
  • anonymous
is it 192x?
bahrom7893
  • bahrom7893
cant be
anonymous
  • anonymous
isnt there a chart ypu can use?
bahrom7893
  • bahrom7893
no im doin this by hand and calculator
anonymous
  • anonymous
ithink there is a chart first column is combinations second is the first term third column is the 2nd term...sound familiar?
bahrom7893
  • bahrom7893
You mean Pascal's triangle? Sorry I can figure out how to use it, but it will take a while, havent used it in a long time
bahrom7893
  • bahrom7893
im just gonna finish off
anonymous
  • anonymous
yeah using that
bahrom7893
  • bahrom7893
Anyway here's the solution: \[81x^4 + 108x^3 + 36x^2 + 108x^3 +144x^2 +48x +36x^2+48x+16 = 81x^4 +216x^3 +216x^2 +96x + 16\]
bahrom7893
  • bahrom7893
\[81x^4 + 108x^3 + 36x^2 + 108x^3 +144x^2 +48x +36x^2+48x+16 = 81x^4 +216x^3 +216x^2 +96x + 16\]
bahrom7893
  • bahrom7893
dang it the whole thing wont show up brb
bahrom7893
  • bahrom7893
81x^4 + 108x^3 + 36x^2 + 108x^3 +144x^2 +48x +36x^2+48x+16 = =81x^4 +216x^3 +216x^2 +96x + 16
bahrom7893
  • bahrom7893
that's the final answer, i triple checked my work
anonymous
  • anonymous
ok thanks

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