# Chapter 3 - Exponents, Polynomials and Functions - 3.2 Combining Functions - 3.2 Exercises - Page 244: 38

$20x^2-32x-16$

#### Work Step by Step

The student added the first terms and the last terms, which is not how multiplying two binomials is done. Using the FOIL Method, which is given by $(a+b)(c+d)=ac+ad+bc+bd,$ the expression, $(4x-8)(5x+2),$ is \begin{array}{l}\require{cancel} (4x-8)(5x+2) \\\\= 4x(5x)+4x(2)-8(5x)-8(2) \\\\= 20x^2+8x-40x-16 \\\\= 20x^2-32x-16 .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.