Question

приведите многочлены к стандартному виду , приведя подобные члены 13a^2b+4+8ab-6a^2b-9; 8a^4-4a^3b-5a^4+4a^3b-7; 4m^5-8m^3+m^2+8m^3-7; 6x^4-5x^3y^3+4x^3+5x^3y^3-x^4 прошу помогите​

Answer 1

Ответ:

Пошаговое объяснение:

1. 13a^2b+4+8ab-6a^2b-9 = 7a²b + 8ab - 5

2. 8a^4-4a^3b-5a^4+4a^3b-7 = 3а⁴ - 7

3. 4m^5-8m^3+m^2+8m^3-7 = 4m⁵ + m² - 7

4. 6x^4-5x^3y^3+4x^3+5x^3y^3-x^4 = 5х⁴ + 4х³

Answer 2

Simplifying Polynomial Expressions

To simplify polynomial expressions and put them in standard form, we need to combine like terms. Like terms are terms that have the same variables raised to the same powers.

Let's simplify the given polynomial expressions:

1. 13a^2b + 4 + 8ab - 6a^2b - 9:

To simplify this expression, we combine the like terms. The like terms are 13a^2b and -6a^2b, as well as 4 and -9. The terms 8ab and -6a^2b are not like terms because they have different powers of a.

Combining the like terms, we get:

(13a^2b - 6a^2b) + (4 - 9) + 8ab

Simplifying further, we have:

7a^2b - 5 + 8ab

Therefore, the simplified expression is 7a^2b + 8ab - 5.

2. 8a^4 - 4a^3b - 5a^4 + 4a^3b - 7:

To simplify this expression, we combine the like terms. The like terms are 8a^4 and -5a^4, as well as -4a^3b and 4a^3b. The term -7 does not have any like terms.

Combining the like terms, we get:

(8a^4 - 5a^4) + (-4a^3b + 4a^3b) - 7

Simplifying further, we have:

3a^4 - 7

Therefore, the simplified expression is 3a^4 - 7.

3. 4m^5 - 8m^3 + m^2 + 8m^3 - 7:

To simplify this expression, we combine the like terms. The like terms are -8m^3 and 8m^3. The terms 4m^5, m^2, and -7 do not have any like terms.

Combining the like terms, we get:

4m^5 + (-8m^3 + 8m^3) + m^2 - 7

Simplifying further, we have:

4m^5 + m^2 - 7

Therefore, the simplified expression is 4m^5 + m^2 - 7.

4. 6x^4 - 5x^3y^3 + 4x^3 + 5x^3y^3 - x^4:

To simplify this expression, we combine the like terms. The like terms are 6x^4 and -x^4, as well as -5x^3y^3 and 5x^3y^3. The term 4x^3 does not have any like terms.

Combining the like terms, we get:

(6x^4 - x^4) + (-5x^3y^3 + 5x^3y^3) + 4x^3

Simplifying further, we have:

5x^4 + 4x^3

Therefore, the simplified expression is 5x^4 + 4x^3.

I hope this helps! Let me know if you have any further questions.

Answer 3

Для приведения многочленов к стандартному виду, нужно привести подобные члены.

1) Многочлен: 13a^2b + 4 + 8ab - 6a^2b - 9

Сначала приведем подобные члены с переменными a и b: (13a^2b - 6a^2b) + (8ab) + (4 - 9) 7a^2b + 8ab - 5

Таким образом, многочлен 13a^2b + 4 + 8ab - 6a^2b - 9 после приведения к стандартному виду будет равен 7a^2b + 8ab - 5.

2) Многочлен: 8a^4 - 4a^3b - 5a^4 + 4a^3b - 7

Сначала приведем подобные члены с переменными a и b: (8a^4 - 5a^4) + (-4a^3b + 4a^3b) - 7 3a^4 - 7

Таким образом, многочлен 8a^4 - 4a^3b - 5a^4 + 4a^3b - 7 после приведения к стандартному виду будет равен 3a^4 - 7.

3) Многочлен: 4m^5 - 8m^3 + m^2 + 8m^3 - 7

Сначала приведем подобные члены с переменной m: (4m^5) + (-8m^3 + 8m^3) + (m^2) - 7 4m^5 + m^2 - 7

Таким образом, многочлен 4m^5 - 8m^3 + m^2 + 8m^3 - 7 после приведения к стандартному виду будет равен 4m^5 + m^2 - 7.

4) Многочлен: 6x^4 - 5x^3y^3 + 4x^3 + 5x^3y^3 - x^4

Сначала приведем подобные члены с переменными x и y: (6x^4 - x^4) + (-5x^3y^3 + 5x^3y^3) + 4x^3 5x^4 + 4x^3

Таким образом, многочлен 6x^4 - 5x^3y^3 + 4x^3 + 5x^3y^3 - x^4 после приведения к стандартному виду будет равен 5x^4 + 4x^3.