Question

НАЙДИТЕ ЗНАЧЕНИЕ ВЫРАЖЕНИЯ (12√6-1)(12√6+1)

Answer 1

По формуле сокращенного умножения : (а-в)*(а+в) =а^2-в^2, соответственно =>
(12√6-1)(12√6+1)=(12√6)^2-1^2=12^2*(√6)^2-1^2=144*6-1=864-1=863

Answer 2

Используем формулу разность квадратов:
$(12\sqrt{6}-1)(12\sqrt{6}+1)=(12\sqrt{6})^2-1^2=12*12*6-1=863$

Answer 3

Calculating the Expression (12√6-1)(12√6+1)

To calculate the expression (12√6-1)(12√6+1), we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b). In this case, a = 12√6 and b = 1.

Using the difference of squares formula, we get: (12√6)² - 1² = (12√6 + 1)(12√6 - 1)

Now, let's calculate (12√6)² and simplify the expression.

(12√6)² = 12² * (√6)² = 144 * 6 = 864

So, the expression (12√6-1)(12√6+1) simplifies to:

(12√6 + 1)(12√6 - 1) = 864 - 1 = 863

Therefore, the value of the expression (12√6-1)(12√6+1) is 863.