Answer
$4 x^{3}-5 x^{2}+2 x-2$
Work Step by Step
Subtract each term of the subtrahend to obtain:
$\left(4 x^{3}-7 x+1\right)-\left(5 x^{2}-9 x+3\right)$
$=4 x^{3}-7 x+1-5 x^{2}-(-9x)-3$
$=4 x^{3}-7 x+1-5 x^{2}+9 x-3$
$=4 x^{3}-5 x^{2}+(9 x-7 x)+(1-3)$
$=4 x^{3}-5 x^{2}+2 x-2$
