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Задача Задача №2643319
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Аноним
19 января 2025 13:54 · публичный вопрос
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Аноним

(2-m) (-m-2)-(5+m)²

Ответ нейросети
19 января 2025 13:54

To simplify the expression \((2-m)(-m-2)-(5+m)^2\), let's break it down step by step.

  1. Expand \((2-m)(-m-2)\):

    \[ (2-m)(-m-2) = 2(-m-2) - m(-m-2) \]

    Now calculate each term: \[ 2(-m-2) = -2m - 4 \] \[ -m(-m-2) = m^2 + 2m \]

    Combine these results: \[ -2m - 4 + m^2 + 2m = m^2 - 4 \]

  2. Expand \((5+m)^2\):

    Using the formula \((a + b)^2 = a^2 + 2ab + b^2\): \[ (5+m)^2 = 5^2 + 2(5)(m) + m^2 = 25 + 10m + m^2 \]

  3. Combine the two parts:

    Now, take the result from step 1 and subtract the result from step 2: \[ (m^2 - 4) - (25 + 10m + m^2) \]

    Distributing the negative sign: \[ m^2 - 4 - 25 - 10m - m^2 = -4 - 25 - 10m \]

    Combine like terms: \[ -29 - 10m \]

So, the final simplified expression is:

\[ \boxed{-10m - 29} \]