Question

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

Answer 1

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

Answer 2

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
\[125p^3-1\]

Answer 3

sweet

Answer 4

People remember that formula?

Answer 5

Satellite.. you have far too good a memory.

Answer 6

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

Answer 7

It's a great way thanks

Answer 8

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

Answer 9

I'm not kidding.

Answer 10

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