Answer
$-2x^3+18x^2-18$
Work Step by Step
The given expression is
$=6(x^3+x^2-3)-4(2x^3-3x^2)$
Use distributive property and clear the parentheses.
$=6x^3+6x^2-18-8x^3+12x^2$
Add like terms.
$=-2x^3+18x^2-18$
Hence, the single polynomial in standard form is $-2x^3+18x^2-18$.