Answer
$-2x^{2}+5x$
Work Step by Step
We are asked to subtract $(6x^{2}-3x)$ from $(4x^{2}+2x)$. This is equivalent to $(4x^{2}+2x)-(6x^{2}-3x)$.
To subtract two polynomials, add the opposite of the second polynomial to the first polynomial.
$(4x^{2}+2x)+(-6x^{2}+3x)$
Next, we can combine like terms.
$(4x^{2}-6x^{2})+(2x+3x)=-2x^{2}+5x$
