## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$(x+3)\sqrt[]{x-1}$
Simplifying each term and then combining like terms, the given expression, $\sqrt[]{x^3-x^2}+\sqrt[]{9x-9} ,$ is equivalent to \begin{array}{l}\require{cancel} \sqrt[]{x^2(x-1)}+\sqrt[]{9(x-1)} \\\\= \sqrt[]{(x)^2\cdot(x-1)}+\sqrt[]{(3)^2\cdot(x-1)} \\\\= x\sqrt[]{x-1}+3\sqrt[]{x-1} \\\\= (x+3)\sqrt[]{x-1} .\end{array} * Note that it is assumed that all variables represent positive numbers.