Explanation:
From the equation:
-6u^2 + 3u^4z^2 - (2z^2/u^2)
You need to factor out the common factors as:
z^2 * (3u^4 - 6u^2 - 2/u^2)
Then, you can simplify the expression inside the parentheses.
We have to factor it by finding a common denominator in the equation:
3u^4 - 6u^2 - 2/u^2 = (3u^6 - 6u^4 - 2) / u^2
Then, factor the numerator:
3u^6 - 6u^4 - 2 will be:
3(u^6 - 2u^4 - 2/3)
The simplified expression will be:
z^2 * [3(u^6 - 2u^4 - 2/3)] / u^2
And lastly, you need to distribute the z^2 to have a simplified expression as:
3z^2(u^6 - 2u^4 - 2/3) / u^2
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