# Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1: 55

$(x-2)(x-8)$

#### Work Step by Step

Using factoring by grouping, the factored form of the given expression, $x^2-2x-8x+16 ,$ is \begin{array}{l}\require{cancel} (x^2-2x)-(8x-16) \\\\= x(x-2)-8(x-2) \\\\= (x-2)(x-8) .\end{array}

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