Бесплатный урок с нашим репетитором!

Узнать подробнее

Новая Школа - онлайн-школа подготовки к ЕГЭ
При поддержке
Посмотреть все вопросы нейросети
Бесплатный пробный урок с репетитором

Узнай больше про репетиторов Новой Школы и запишись на бесплатный пробный урок. Мы проверим твой уровень знаний и составим план обучения по любому предмету и классу

Вопрос от Анонимного юзера 13 января 2025 13:40

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!

Задай свой вопрос

Напиши любую задачу или вопрос, а нейросеть её решит

Похожие вопросы 15

Бесплатно Мобильное приложение ГДЗ
Мобильное приложение ГДЗ

Задавай вопросы искуcственному интеллекту текстом или фотографиями в приложении на iPhone или Android

qr-codegoogle-playapp-store

Саша — ассистент в телеграмме

9t 2 −12t+4.
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!