help with another one please, Express as a polynomial.
(x+a){x^2-ax/x}, my answer is x^2-2ax+a^2, but not sure if it could be x^2-2ax-a^2, thanks for checking.
If you've been doing factoring you should know how to multiply these out. (I mean, without relying on FOIL, but it depends on how you're being taught.)
$\displaystyle (x + a) \left ( \frac{x^2 - ax}{x} \right )$
$\displaystyle = \frac{(x + a)(x^2 - ax)}{x}$
$\displaystyle = \frac{x(x^2 - ax) + a(x^2 - ax)}{x}$
$\displaystyle = \frac{(x^3 - ax^2) + (ax^2 - a^2x)}{x}$
$\displaystyle = \frac{x^3 - a^2x}{x}$
$\displaystyle = \frac{x(x^2 - a^2)}{x}$
$\displaystyle = x^2 - a^2$
-Dan
Edit: Or I suppose you could've simply done
$\displaystyle \frac{x^2 - ax}{x} = x - a$
immediately and multiplied out from there.