Question

(6V3 + 3V5) (6V3 - 315).

Answer 1

Ответ:

63

Объяснение:

Используем формулу сокращённого умножения - разность квадратов:

(a+b)(a-b)=a²-b²

$(6\sqrt{3}+3\sqrt{5})(6\sqrt{3}-3\sqrt{5})= (6\sqrt{3})^2-(3\sqrt{5})^2=36*3-9*5=\\\\=108-45= 63$

Answer 2

To multiply the expressions (6√3 + 3√5) and (6√3 - 3√5), you can use the difference of squares formula, which states that (a + b)(a - b) = a^2 - b^2. In this case, let:

a = 6√3 b = 3√5

Now, apply the difference of squares formula:

(6√3 + 3√5)(6√3 - 3√5) = (a + b)(a - b) = a^2 - b^2

a^2 = (6√3)^2 = 36 * 3 = 108

b^2 = (3√5)^2 = 9 * 5 = 45

Now, subtract b^2 from a^2:

a^2 - b^2 = 108 - 45 = 63

So, the result of (6√3 + 3√5)(6√3 - 3√5) is 63.