Sette
what is the product of (3x^2/x+2)/(5x^220/30x^3) ? simplify completely. Algebra 1 Honors.



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moneybird
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\[\frac{3x^2}{x+2} * \frac{5x^220}{30x^3}\]

moneybird
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right?

Sette
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yes thats the equation.

moneybird
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5x^2  20 can be factored as 5(x^24) = 5(x+2)(x2)

razor99
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razor99
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thats the answer

moneybird
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(x+2) can be cancelled out and 3x^2 can also be cancelled out
so you are left with \\[\frac{5x10}{10x}\]

Sette
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3x^2 can be canceled because you simplified it with 30x^3?

moneybird
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yes

Sette
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oh okay Thank YOu .

razor99
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hey sette check my answer

radar
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\[5(x2)\over10x\]\[x2\over2x\]

Sette
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razor i dont know how you got that .

radar
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I am assuming moneybird was correct and further simplified the final answer.

radar
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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

Sette
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Yes Thank You. He is correct and your simplification was correct.

radar
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You're welcome and good luck with these.

Chlorophyll
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(3x^2/x+2)/(5x^220/30x^3)
(3x^2/x+2) * ( 30x^3/ (5x^220)
= 90 x^3/ 5 ( x^3  8)
= 18 x^3/ ( x^3  8)