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

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (m + 3)(m² - 2m + 2)

This expression represents the multiplication of a binomial (m + 3) and a trinomial (m² - 2m + 2). To expand it, we'll use the distributive property, also known as FOIL (First, Outer, Inner, Last).

Applying the Distributive Property (FOIL)

• First: Multiply the first terms of each expression: (m) * (m²) = m³
• Outer: Multiply the outer terms: (m) * (-2m) = -2m²
• Inner: Multiply the inner terms: (3) * (m²) = 3m²
• Last: Multiply the last terms: (3) * (-2m) = -6m
• Last: Multiply the last terms: (3) * (2) = 6

Combining Like Terms

Now we combine the terms we obtained:

m³ - 2m² + 3m² - 6m + 6

Simplifying by combining the m² terms:

m³ + m² - 6m + 6

Final Expanded Expression

Therefore, the expanded form of (m + 3)(m² - 2m + 2) is m³ + m² - 6m + 6.