Question

Разложите на множители а) 4а²-9с² б) у²-12ху+36х² помогите пожалуйста

Answer 1

A)4a2-9c2=(2a-3c)(2a+3c)

Answer 2

А) 4а² - 9с² = (2а-3с)(2а+3с)
б) у² - 12ху + 36х² = (у-6)²
Это же формулы сокращённого умножения.

Answer 3

Factoring Expressions:

a) To factor the expression 4a² - 9c², we can use the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b). In this case, a is 2a and b is 3c. Therefore, we can factor 4a² - 9c² as follows:

4a² - 9c² = (2a + 3c)(2a - 3c)

b) To factor the expression u² - 12hu + 36h², we can use the perfect square trinomial formula, which states that a² - 2ab + b² can be factored as (a - b)². In this case, a is u and b is 6h. Therefore, we can factor u² - 12hu + 36h² as follows:

u² - 12hu + 36h² = (u - 6h)²

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