Solve Algebra Question: Homework Statement & Equations

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If p is prime, can k!(p-k)! divide p if 1<=k<p?
 
How did you attach those?
 
...can i ask a question? what is "!" and "mod"??
 
Ephratah7 said:
...can i ask a question? what is "!" and "mod"??

! = http://en.wikipedia.org/wiki/Factorial"

mod = http://en.wikipedia.org/wiki/Modular_arithmetic"
 
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steelphantom said:
! = http://en.wikipedia.org/wiki/Factorial"

mod = http://en.wikipedia.org/wiki/Modular_arithmetic"

ahhh... i see.. thanks..
 
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Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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