Question

find the sum or difference. write your answer in standard form.
$(3c^3 - c + 11) - (c^2 + 2c + 8)$

Explanation:

Step1: Distribute the negative sign

$3c^3 - c + 11 - c^2 - 2c - 8$

Step2: Combine like terms (constants)

$3c^3 - c^2 - c - 2c + (11 - 8)$

Step3: Combine like terms (c-terms)

$3c^3 - c^2 + (-1-2)c + 3$

Step4: Simplify coefficients

$3c^3 - c^2 - 3c + 3$

Answer:

$3c^3 - c^2 - 3c + 3$