Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x
Step-by-step explanation:

You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.
If you multiply two powers with the same base, the result will be the base to the sum of the powers.
If you divide two powers with the same base, the result will be the base to the difference of the powers.
In your case you will this:

That is:

Or:

Answer:
75
Step-by-step explanation:
you have 600 = 8 and you want to break it down into just 1 hour so you divide both sides by 8
600/8 = 75
Answer:
Simplified form is
.
Step-by-step explanation:
The given expression is 
We can rewrite the given expression as 
Further simplification of the expression gives


So the simplified of the given expression is ![=[tex]-(\frac{8x^{3}}{3x-2})](https://tex.z-dn.net/?f=%3D%5Btex%5D-%28%5Cfrac%7B8x%5E%7B3%7D%7D%7B3x-2%7D%29)