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It is not the same. Factoring helps us get the answer faster.

For example x^2+6x+7=0

Solving for x would be difficult using this form. But factoring we can get (x+6)(x+1)=0. We can easily solve for x which is -6,-1.

 ok

If the hemisphere has radius 2, then the sphere will have radius 1. Solving for the formula of a sphere, we get 4/3 pi, which simplifies to about 4.2

HiylinLink, your answer is wrong probably becuase you didn't read the question carefully 

The sphere is inscribed in the hemisphere, so the sphere doesn't have radius 2, it has radius 1. If the sphere has radius 2, then your answer is correct. But since it has radius 1, the answer is 4.2

I posted that on the AIME post, look at that

Really? Your writing skills won't come in handy for computer science, maybe you should think about being an english teacher 

Guest has a point, HiylinLink, you should be an english teacher

Thanks CalculatorUser. The AMC test stands for American Mathematics Competitions, and it is an optional test that can help you in college. Getting a good score on it can get you to the AIME, which will look great on your college resume.

(6/m)^2 is equal to (6^2 / m^2). This is equal to (36/m^2)