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Формула разности квадратов

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Формула разности квадратов

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Проверь знання о разности квадратов

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2 times made

Created by

Учитель
Учитель
Kazakhstan

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Формула разности квадратовOnline version

Проверь знання о разности квадратов

by Учитель
1

Разность квадратов равна квадрату разности: a^2 - b^2 = (a - b)^2.

2

При разложении разности квадратов результат всегда четный.

3

Разность квадратов равна нулю тогда, когда соответствующие выражения равны: a = b.

4

Разность квадратов можно записать как сумма квадратов: a^2 - b^2 = a^2 + b^2.

5

Разность квадратов двух выражений равна произведению их разности и их суммы: a^2 - b^2 = (a - b)(a + b).

6

Если подставить a=5, b=3, то 25 - 9 = 16 и (5 - 3)(5 + 3) = 2·8 = 16.

7

Формула разности квадратов применима только к целым числам; для дробей не работает.

8

Разложение разности квадратов может использоваться для разложения многочленов и упрощения выражений.

9

Разность квадратов равна квадрату суммы: a^2 - b^2 = (a + b)^2.

10

Формула a^2 - b^2 = (a - b)(a + b) применяется к любым числам: x^2 - y^2 = (x - y)(x + y).