Question

subtract. simplify your answer.
$(4m^{3}-m^{2}+5m + 1)-(5m^{2}-3m + 10)$

Explanation:

Step1: Distribute the negative sign

$4m^3 - m^2 + 5m + 1 - 5m^2 + 3m - 10$

Step2: Combine like $m^2$ terms

$4m^3 + (-m^2 -5m^2) + 5m + 3m + 1 - 10$
$4m^3 -6m^2 + 5m + 3m + 1 - 10$

Step3: Combine like $m$ terms

$4m^3 -6m^2 + (5m + 3m) + 1 - 10$
$4m^3 -6m^2 + 8m + 1 - 10$

Step4: Combine constant terms

$4m^3 -6m^2 + 8m + (1 - 10)$
$4m^3 -6m^2 + 8m -9$

Answer:

$4m^3 -6m^2 + 8m -9$