May someone please help me solve this problem?
I'm factoring a polynomial...I think.

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

I got stuck while attempting to simplify (x-x) and (1-x)

Question

May someone please help me solve this problem?
I'm factoring a polynomial...I think.

$$(x+1)(x^2-x+1)$$

I got stuck while attempting to simplify (x-x) and (1-x)

anonymous · Answer

this is the formula for factoring the sum of two cubes, so before we even start, the answer is 
$$x^3+1$$ but we can work through it step by step

anonymous · Answer

$$(x+1)(x^2-x+1)$$ first multiply all by $x$ then multiply all by $1$
you get 
$$x^3-x^2+x+x^2-x+1$$

anonymous · Answer

then combine like terms
all adds up to zero $-x^2+x^2=0,-x+x=0$ you are left only with $x^3+1$

anonymous · Answer

I see where I messed up at; thank you for explaining ^-^

anonymous · Answer

yw