Question

Hello I don’t need no explanation or work just the letter thank you so much!Identify which step has a mistake

Answer 1

Recall that:

`a^2-b^2=(a+b)(a-b).`

Then:

`x^2-9=(x+3)(x-3).`

Also, notice that:

`3x+9=3x+3*3=3(x+3).`

Therefore:

`(3x+9)/(x^3)*(2x)/(x^2-9)=(3(x+3))/(x^3)*(2x)/((x+3)(x-3)).`

Assuming that x≠-3 and x≠0 we can rewrite the above result as follows:

`(3)/(x^2)*(2)/((x-3)).`

Therefore:

`(3x+9)/(x^3)*(2x)/(x^2-9)=(6)/(x^3-3x^2).`

Answer: Option E. No mistakes.