## Intermediate Algebra: Connecting Concepts through Application

$20x^2-32x-16$
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}