Sette
  • Sette
what is the product of (3x^2/x+2)/(5x^2-20/30x^3) ? simplify completely. Algebra 1 Honors.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\frac{3x^2}{x+2} * \frac{5x^2-20}{30x^3}\]
anonymous
  • anonymous
right?
Sette
  • Sette
yes thats the equation.

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anonymous
  • anonymous
5x^2 - 20 can be factored as 5(x^2-4) = 5(x+2)(x-2)
razor99
  • razor99
razor99
  • razor99
thats the answer
anonymous
  • anonymous
(x+2) can be cancelled out and 3x^2 can also be cancelled out so you are left with \\[\frac{5x-10}{10x}\]
Sette
  • Sette
3x^2 can be canceled because you simplified it with 30x^3?
anonymous
  • anonymous
yes
Sette
  • Sette
oh okay Thank YOu .
razor99
  • razor99
hey sette check my answer
radar
  • radar
\[5(x-2)\over10x\]\[x-2\over2x\]
Sette
  • Sette
razor i dont know how you got that .
radar
  • radar
I am assuming moneybird was correct and further simplified the final answer.
radar
  • radar
As shown I removed the common factor and placed it outside parenthesis. then divided numerator and denominator by the 5. getting the final answer
Sette
  • Sette
Yes Thank You. He is correct and your simplification was correct.
radar
  • radar
You're welcome and good luck with these.
anonymous
  • anonymous
(3x^2/x+2)/(5x^2-20/30x^3) (3x^2/x+2) * ( 30x^3/ (5x^2-20) = 90 x^3/ 5 ( x^3 - 8) = 18 x^3/ ( x^3 - 8)

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