## Precalculus: Mathematics for Calculus, 7th Edition

$x^{-1/2}(x+1)(5x-3)$ or $\dfrac{(x+1)(5x-3)}{x^{1/2}}$ or $\dfrac{(x+1)(5x-3)}{\sqrt{x}}$
$-3x^{-1/2}+2x^{1/2}+5x^{3/2}$ Take out common factor $x^{-1/2}$: $-3x^{-1/2}+2x^{1/2}+5x^{3/2}=x^{-1/2}(-3+2x+5x^{2})=...$ Rearrange the expression inside the parentheses: $...=x^{-1/2}(5x^{2}+2x-3)=...$ Factor the parentheses: $...=x^{-1/2}(x+1)(5x-3)$