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Sette

  • 2 years ago

what is the product of (3x^2/x+2)/(5x^2-20/30x^3) ? simplify completely. Algebra 1 Honors.

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  1. moneybird
    • 2 years ago
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    \[\frac{3x^2}{x+2} * \frac{5x^2-20}{30x^3}\]

  2. moneybird
    • 2 years ago
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    right?

  3. Sette
    • 2 years ago
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    yes thats the equation.

  4. moneybird
    • 2 years ago
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    5x^2 - 20 can be factored as 5(x^2-4) = 5(x+2)(x-2)

  5. razor99
    • 2 years ago
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  6. razor99
    • 2 years ago
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    thats the answer

  7. moneybird
    • 2 years ago
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    (x+2) can be cancelled out and 3x^2 can also be cancelled out so you are left with \\[\frac{5x-10}{10x}\]

  8. Sette
    • 2 years ago
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    3x^2 can be canceled because you simplified it with 30x^3?

  9. moneybird
    • 2 years ago
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    yes

  10. Sette
    • 2 years ago
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    oh okay Thank YOu .

  11. razor99
    • 2 years ago
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    hey sette check my answer

  12. radar
    • 2 years ago
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    \[5(x-2)\over10x\]\[x-2\over2x\]

  13. Sette
    • 2 years ago
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    razor i dont know how you got that .

  14. radar
    • 2 years ago
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    I am assuming moneybird was correct and further simplified the final answer.

  15. radar
    • 2 years ago
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    As shown I removed the common factor and placed it outside parenthesis. then divided numerator and denominator by the 5. getting the final answer

  16. Sette
    • 2 years ago
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    Yes Thank You. He is correct and your simplification was correct.

  17. radar
    • 2 years ago
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    You're welcome and good luck with these.

  18. Chlorophyll
    • 2 years ago
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    (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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