Chapter 5 - Section 5.3 - Special Products - Exercise Set - Page 367: 10

$14x^2-31x-10$

Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $ (2x-5)(7x+2) ,$ is \begin{array}{l}\require{cancel} 2x(7x)+2x(2)-5(7x)-5(2) \\\\= 14x^2+4x-35x-10 \\\\= 14x^2-31x-10 .\end{array}