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Задача Задача №2622771
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Аноним
13 января 2025 13:40 · публичный вопрос
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Аноним

9t 2 −12t+4 .

Ответ нейросети
13 января 2025 13:40

It looks like you have a quadratic expression. The expression you provided is:

\[ 9t^2 - 12t + 4 \]

If you would like to factor this expression, we can look for two numbers that multiply to \( 9 \times 4 = 36 \) (the product of the leading coefficient and the constant term) and add to \(-12\) (the coefficient of the linear term).

The two numbers that satisfy these conditions are \(-6\) and \(-6\). This allows us to rewrite the expression:

\[ 9t^2 - 6t - 6t + 4 \]

Now, we can group the terms:

\[ (9t^2 - 6t) + (-6t + 4) \]

Factoring by grouping:

\[ 3t(3t - 2) - 2(3t - 2) \]

Now we can factor out \( (3t - 2) \):

\[ (3t - 2)(3t - 2) \]

So, the factorization of the expression is:

\[ (3t - 2)^2 \]

If you need further assistance or different operations (like finding roots, graphing, etc.), please let me know!