Question

subtract.

\\((3m^3 - 6) - (-2m^3 + m^2 + 3)\\)

• \\(5m^3 + m^2 - 9\\)
• \\(5m^3 - m^2 - 9\\)
• \\(m^3 + m^2 - 3\\)
• \\(5m^3 - 7m^2 - 3\\)

Explanation:

Distribute the negative sign

Using the Distributive Property knowledge point

$$ -( -2m^3 + m^2 + 3 ) = 2m^3 - m^2 - 3 $$

Rewrite the entire expression

Using the Simplifying Algebraic Expressions knowledge point

$$ (3m^3 - 6) + 2m^3 - m^2 - 3 $$

Group and combine like terms

Using the Combining Like Terms knowledge point

$$
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Answer:

• (A) \(5m^3 + m^2 - 9\)
• (B) \(5m^3 - m^2 - 9\) (Correct answer)
• (C) \(m^3 + m^2 - 3\)
• (D) \(5m^3 - 7m^2 - 3\)