Question

(5x - 2y)(5x + 2y) = ?

Answer 1

Ответ:

Для обчислення добутку двох біному виду (5x - 2y)(5x + 2y) можна використовувати формулу різниці квадратів (a^2 - b^2 = (a + b)(a - b)). У даному випадку a = 5x і b = 2y. Застосуємо формулу:

(5x - 2y)(5x + 2y) = (5x)^2 - (2y)^2 = 25x^2 - 4y^2

Отже, вираз (5x - 2y)(5x + 2y) дорівнює 25x^2 - 4y^2.

Answer 2

По формуле разности квадратов:

х² - у² = (х-у)(х+у)

(5х-2у)(5х+2у) = (5х)² - (2у)² = 25х² - 4у²

Answer 3

To simplify the expression (5x - 2y)(5x + 2y), you can use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Here's how you can expand the expression:

(5x - 2y)(5x + 2y) = (5x * 5x) + (5x * 2y) + (-2y * 5x) + (-2y * 2y)

Now, let's calculate each part:

(5x * 5x) = 25x^2 (5x * 2y) = 10xy (-2y * 5x) = -10xy (-2y * 2y) = -4y^2

Now, combine these terms:

25x^2 + 10xy - 10xy - 4y^2

The middle terms, 10xy and -10xy, cancel each other out:

25x^2 - 4y^2

So, (5x - 2y)(5x + 2y) simplifies to 25x^2 - 4y^2.