Answer
$5x^{2}+4x-12$
Work Step by Step
Using the FOIL method, $(5x-6)(x+2)=(5x)(x)+(5x)(2)+(-6)(x)+(-6)(2)=5x^{2}+10x+(-6x)+(-12)=5x^{2}+10x-6x-12=5x^{2}+4x-12$.
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