Answer
$5x^3-2x^2+12x-15$
Work Step by Step
$(7x^3-8x^2+9x-6)-(2x^3-6x^2-3x+9)\\=(7x^3-2x^3)+(-8x^2+6x^2)+(9x+3x)+(-6-9)\\=5x^3-2x^2+12x-15$
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