## Elementary Algebra

$-8x^2+22x-15$
Using $(a+b)(c+d)=ab+(ad+bc)+bd$ or the FOIL Method, the given expression, $(-2x+3)(4x-5) ,$ is equivalent to \begin{array}{l}\require{cancel} -8x^2+(10x+12x)-15 \\\\= -8x^2+22x-15 .\end{array}