Answer
$-18x^{2}+8x+19$
Work Step by Step
We are asked to subtract $(2x^{2}+3x+12)-(20x^{2}-5x-7)$. To subtract two polynomials, add the opposite of the second polynomial to the first polynomial.
$(2x^{2}+3x+12)+(-20x^{2}+5x+7)$
Next, we can combine like terms.
$(2x^{2}-20x^{2})+(3x+5x)+(12+7)=-18x^{2}+8x+19$
