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Квадраты и множители

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Квадраты и множители

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Тест по формулам квадратов и factoring

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Леся
Леся
Belarus

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Квадраты и множители
 

Квадраты и множителиOnline version

Тест по формулам квадратов и factoring

by Леся
1

Каково разложение (x+y)^2 ?

2

Каково разложение (x−y)^2 ?

3

Разность квадратов: a^2−b^2 = ?

4

Вынесение общего множителя: 6x^2+9x = ?

5

Разложение 8x^3+12x^2 = ?

6

Разложение x^4−y^4 = ?

7

Вынесение множителя: 14a^3b^2+21a^2b^3 = ?

8

Сумма квадратов: a^2+b^2 может быть разложена над целыми числами как?

9

Разложение куба суммы: x^3+y^3 = ?

10

Разложение куба разности: x^3−y^3 = ?

Объяснение

Неверно: второй член должен быть 2xy, а не ±2xy или xy.

В разности квадратов коэффициент при xy должен быть -2, не +2 и т.д.

Правильно: произведение разности и суммы.

Вынесен общий множитель 3x, остаток 2x+3.

Вынесен общий множитель 4x^2, остаётся (2x+3).

Это базовое разложение разности четвертых степеней.

Наибольший общий множитель 7a^2b^2."

В над полем целых чисел a^2+b^2 не имеет простого разложения.

Классическое разложение куба суммы.

Правильное разложение для разности кубов.

 
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