# Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 550: 33

$6-5\sqrt{x}+\mathrm{x}$

#### Work Step by Step

Use the FOIL method, along with $\sqrt{a}\times\sqrt{b}=\sqrt{ab},\qquad$ $\sqrt{a^{2}}=(\sqrt{a})^{2}=a$ (for positive a). $F:\quad 3\times 2=6$ $O:\quad 3\times(-\sqrt{x})=-3\sqrt{x}$ $I:\quad -\sqrt{x}\times 2=-2\sqrt{x}$ $L:\quad -\sqrt{x}\times(-\sqrt{x})=+(\sqrt{x})^{2}=x$ Add the terms (O and I are like terms...) $...$= $6-5\sqrt{x}+\mathrm{x}$

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