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

Question

anonymous · Answer

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

anonymous · Answer

right?

sette · Answer

yes thats the equation.

anonymous · Answer

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

razor99 · Answer

attachment

razor99 · Answer

thats the answer

anonymous · Answer

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

sette · Answer

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

anonymous · Answer

yes

sette · Answer

oh okay Thank YOu .

razor99 · Answer

hey sette check my answer

radar · Answer

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

sette · Answer

razor i dont know how you got that .

radar · Answer

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

radar · 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

sette · Answer

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

radar · Answer

You're welcome and good luck with these.

anonymous · Answer

(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)