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

1. moneybird

$\frac{3x^2}{x+2} * \frac{5x^2-20}{30x^3}$

2. moneybird

right?

3. Sette

yes thats the equation.

4. moneybird

5x^2 - 20 can be factored as 5(x^2-4) = 5(x+2)(x-2)

5. razor99

6. razor99

7. moneybird

(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

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

9. moneybird

yes

10. Sette

oh okay Thank YOu .

11. razor99

$5(x-2)\over10x$$x-2\over2x$

13. Sette

razor i dont know how you got that .

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

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

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

You're welcome and good luck with these.

18. Chlorophyll

(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)