Find the product.
(5p-1)25p^2+5p+1)

Question

anonymous · Answer

you might recognize this as the difference of two cubes and get the answer right away

anonymous · Answer

if you don't recognize it as the right hand side of the identity 
$$a^3-b^3=(a-b)(a^2+ab+b^2)$$ you will have to do six multiplications and then combine like terms. but if you do see it you go right to 
$$125p^3-1$$

anonymous · Answer

sweet

anonymous · Answer

People remember that formula?

anonymous · Answer

Satellite.. you have far too good a memory.

anonymous · Answer

We're going to have to turn up your band.

anonymous · Answer

It's a great way thanks

anonymous · Answer

your kidding right?  it comes up almost as often as 
finding the integral of log 
the derivative of root x
or the vertex of a quadratic

anonymous · Answer

I'm not kidding.

anonymous · Answer

Also of those other three you mentioned. I would only be able to recognize the derivative of sqrt(x) by sight.