ericklsx ericklsx
  • 22-08-2018
  • Mathematics
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Which is a correct expansion of (3x+2)(3x^2+4)

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rodrigezasuna1p8btqn
rodrigezasuna1p8btqn rodrigezasuna1p8btqn
  • 22-08-2018
The answer is 6x^2 + 6
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Amphitrite1040
Amphitrite1040 Amphitrite1040
  • 22-08-2018

Hey there!

[tex] (3x + 2)(3x^2+4) \\ \\ 2(3x^2) + 3x(4)+ 2(3x^2) + 2(4) \\ \\ 3x(3x^2)= 9x^3 \\ \\ 3x(4) =12x \\ \\ 2(3x^2) = 6x^2 \\ \\ 2(4) = 8 \\ \\ 9x^3 + 12x + 6x^2 + 8 \\ \\ Rearrange: 9x^3 + 6x^2 + 12x + 8 \\ \\ \\ \\ Answer: 9x^3 + 6x^2+12x +8 [/tex]

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