1. ## Help with polynomial

Hi, in one of the steps of a particular problem in my math book the author simply rewrites an equation to the following:

p(2p+1)(2p-1)+3(2p+1)^2 = (2p+1)(p(2p-1)+3(2p+1))

Basically factorizing the equation. It should be really simple but I' don't see how this can be achieved easily.
Is there some trick that I'm missing?

2. ## Re: Help with polynomial

A common factor of (2p + 1) was taken out.

3. ## Re: Help with polynomial

The equation is valid right?

Is it easy to see that step without writing it down on paper? Or are there some steps in between?

4. ## Re: Help with polynomial

Originally Posted by TriForce
The equation is valid right?

Is it easy to see that step without writing it down on paper? Or are there some steps in between?
seems pretty clear

$$p(2p+1)(2p-1)+3(2p+1)^2$$

maybe to make it clearer let x = (2p+1)

$$p x (2p-1) + 3x^2$$

$$x(p(2p-1)+3x)$$

$$(2p+1)\left(p(2p-1) + 3(2p+1)\right)$$

5. ## Re: Help with polynomial

Ah, that's it! Think I've spend so much time on it that I've became blind...

Thanks!