# Chapter 5 - Section 5.3 - Special Products - Exercise Set - Page 367: 20

$-4x^2+11x-6$

#### Work Step by Step

Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $(4x-3)(2-x) ,$ is \begin{array}{l}\require{cancel} 4x(2)+4x(-x)-3(2)-3(-x) \\\\= 8x-4x^2-6+3x \\\\= -4x^2+(8x+3x)-6 \\\\= -4x^2+11x-6 .\end{array}

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