## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$33x^2+25x+2$
The given expression, $(3x+2)(7x+4x+1) ,$ is equivalent to \begin{array}{l}\require{cancel} (3x+2)(11x+1) .\end{array} Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of 2 binomials, the expression above is equivalent to \begin{array}{l}\require{cancel} 3x(11x)+3x(1)+2(11x)+2(1) \\\\= 33x^2+3x+22x+2 \\\\= 33x^2+25x+2 .\end{array}