Elise_a18
  • Elise_a18
An expression is shown below: 2x3y + 18xy - 10x2y - 90y 1. Rewrite the expression so that the GCF is factored completely. 2. Rewrite the expression completely factored. Show the steps of your work. 3. If the two middle terms were switched so that the expression became 2x3y - 10x2y + 18xy - 90y, would the factored expression no longer be equivalent to your answer in part 2? Explain your reasoning.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[2x^3y + 18xy - 10x^2y - 90y\] right?
anonymous
  • anonymous
common factor? each term has a \(2y\) in it factor it out first
Elise_a18
  • Elise_a18
yes that's correct

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Elise_a18
  • Elise_a18
i got 2y(9x^3-5x^2-45) for A. is that correct? @satellite73
Elise_a18
  • Elise_a18
@satellite73
anonymous
  • anonymous
looks like you are missing something
anonymous
  • anonymous
\[2x^3y + 18xy - 10x^2y - 90y\] factor out the \(2y\) and get \[2y(x^3+9x-5x^2-45)\]
anonymous
  • anonymous
then you can factor further, but how you are supposed to do that i am not sure
anonymous
  • anonymous
final factored form is \[2 y(x-5) (x^2+9)\]
anonymous
  • anonymous
maybe we can write \[x^3-5x^2+9x-45\] as \[x^2(x-5)+9(x-5)\] then we see a common factor of \(x-5\) so factor further as \[(x^2-9)(x-5)\]
anonymous
  • anonymous
as for 3) there is only one way to factor a polynomial, so nothing would change
Elise_a18
  • Elise_a18
I completed it. Thanks for your help! I forgot to do that last step @satellite73

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