# Thread: Simplifying

1. ## Simplifying

I need help solving this. Please show all steps. Thanks!

Simplify x^2(1-2x^3)^-1/2(-3x^2) + (1-2x^3)^1/2(2x)

2. Originally Posted by cam_ddrt
I need help solving this. Please show all steps. Thanks!

Simplify x^2(1-2x^3)^-1/2(-3x^2) + (1-2x^3)^1/2(2x)
Hi cam_ddrt,

Is this your problem?

$\displaystyle x^2(1-2x^3)^{-\frac{1}{2}}(-3x^2)+(1-2x^3)^{\frac{1}{2}}(2x)$

Or is it this:

$\displaystyle x^2(1-2x^3)^{-\frac{1}{2}(-3x^2)}+(1-2x^3)^{\frac{1}{2}(2x)}$

3. It's the first one

4. Originally Posted by masters
Hi cam_ddrt,

Is this your problem?

$\displaystyle x^2(1-2x^3)^{-\frac{1}{2}}(-3x^2)+(1-2x^3)^{\frac{1}{2}}(2x)$
$\displaystyle \frac{-3x^4}{(1-2x^3)^{\frac{1}{2}}}+\frac{2x(1-2x^3)^{\frac{1}{2}}}{1}=\frac{-3x^4+2x(1-2x^3)}{(1-2x^3)^{\frac{1}{2}}}=$

$\displaystyle \frac{-3x^4+2x-4x^4}{(1-2x^3)^{\frac{1}{2}}}=\frac{-7x^4+2x}{(1-2x^3)^{\frac{1}{2}}}=$

Can you see where this thing is going? Maybe you can factor an x out of the numerator, but I don't see much more simplification here. Maybe you could try rationalizing the denominator.