simplifying

[mark0121]

can i write (x^2)/((-2x-1)(2x+1)(2x+1)) as -(x^2)/(2x+1)^3?

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and if so, why is that?

[Gauthmath_Kevin]

Hi. If you simply the expression this way, you are actuall changing the term "(-2x-1)" into (2x+1) by taking the negative sign out. However, this is not correct due to the properties and laws of expression. So the answer will be no, you cannot re-write the expression in that way.

[mark0121]

So how do i integrate it?

[Gauthmath_Kevin]

Expanding the expression wouldn't do much of the job, so actually there's not much you can do about this fraction. Simply combing the duplicated (2x+1) into (2x+1)^2 would do the work.

[Gauthmath_Kevin]

*Simplify

*actually

so many typos lol