Answer
$8x^{3}-11x^{2}+12$
Work Step by Step
$(4x^{3}-10x^{2}+1)-(-4x^{3}+x^{2}-11)$
Change the sign of every term inside the second parentheses:
$(4x^{3}-10x^{2}+1)+(4x^{3}-x^{2}+11)=...$
Remove the both parentheses:
$...=4x^{3}-10x^{2}+1+4x^{3}-x^{2}+11=...$
Simplify by combining like terms:
$...=(4+4)x^{3}-(10+1)x^{2}+11+1=...$
$...=8x^{3}-11x^{2}+12$
