Answer
$5x^4-x^3+5x^2-5x+2$
Work Step by Step
Consider the given polynomial
$(4x^3+3x^2-1)-(x^4-2x^2+7x-3)$
Need to drop the parentheses.
Thus,
$(4x^3+3x^2-1)-(x^4-2x^2+7x-3)=4x^3+3x^2-1-x^4+2x^2-7x+3$
or, $=4x^3-x^4+3x^2+2x^2-7x+3$
or, $=-x^4+4x^3+5x^2+2-7x$
Need to add $(6x^4-5x^3+2x)$ to the result obtained after subtracting.
Thus,
$=-x^4+4x^3+5x^2+2-7x+6x^4-5x^3+2x$
$=5x^4-x^3+5x^2-5x+2$
