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Find the continued products \( m+1, m-2, m+3 \)

Ask by Peterson Dickson. in Pakistan
Nov 30,2024

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The continued product is \( m^{3}+2m^{2}-5m-6 \).

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To compute the continued products of the expressions \( m+1, m-2, m+3 \), we multiply them together. First, multiply the first two terms: \[ (m+1)(m-2) = m^2 - 2m + m - 2 = m^2 - m - 2. \] Next, we multiply this result by the third term \( m+3 \): \[ (m^2 - m - 2)(m+3) = m^3 + 3m^2 - m^2 - 3m - 2m - 6 = m^3 + 2m^2 - 5m - 6. \] So the continued product \( (m+1)(m-2)(m+3) \) simplifies to: \[ \boxed{m^3 + 2m^2 - 5m - 6}. \]

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