## Algebra: A Combined Approach (4th Edition)

$\dfrac{x^{4}-10x^{3}}{x^{2}-17x+70}=\dfrac{x^{3}}{x-7}$
$\dfrac{x^{4}-10x^{3}}{x^{2}-17x+70}$ Take out common factor $x^{3}$ in the numerator: $\dfrac{x^{4}-10x^{3}}{x^{2}-17x+70}=\dfrac{x^{3}(x-10)}{x^{2}-17x+70}=...$ Factor the denominator and simplify: $...=\dfrac{x^{3}(x-10)}{(x-7)(x-10)}=\dfrac{x^{3}}{x-7}$