Question

subtract.
your answer should be a polynomial in standard form.
(-5m² - 8) - (-3m² + m + 2) =

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial, we distribute the negative sign to each term inside the parentheses:
$$(-5m^2 - 8) + 3m^2 - m - 2$$

Step2: Combine like terms

• For the \(m^2\) terms: \(-5m^2 + 3m^2 = -2m^2\)
• For the \(m\) terms: There is only \(-m\)
• For the constant terms: \(-8 - 2 = -10\)

Putting it all together, we get:
$$-2m^2 - m - 10$$

Answer:

\(-2m^2 - m - 10\)