## Intermediate Algebra (12th Edition)

$0.1x+0.63x-0.13$
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the binomials in the given expression, $(0.2x+1.3)(0.5x-0.1) ,$ is \begin{array}{l}\require{cancel} 0.2x(0.5x)+0.2x(-0.1)+1.3(0.5x)+1.3(-0.1) \\\\= 0.1x-0.02x+0.65x-0.13 \\\\= 0.1x+0.63x-0.13 .\end{array}