Question

(2√3+3√5)(3√3-2√5)=

Answer 1

Ответ:

Объяснение:

$(2\sqrt{3} +3\sqrt{5} )(3\sqrt{3} -2\sqrt{5} )=2\sqrt{3} *3\sqrt{3} +3\sqrt{5} *3\sqrt{3} -2\sqrt{5} *2\sqrt{3} -2\sqrt{5} *3\sqrt{5} =18+9\sqrt{15} -4\sqrt{15} -30=-12+5\sqrt{15}$

Answer 2

To simplify the expression (2√3 + 3√5)(3√3 - 2√5), you can use the distributive property (FOIL method). FOIL stands for First, Outer, Inner, Last, which are the terms you multiply together.

Here's how you can do it step by step:

(2√3 + 3√5)(3√3 - 2√5)

First: 2√3 * 3√3 = 6√9 = 6√(3^2) = 6 * 3 = 18 Outer: 2√3 * -2√5 = -4√15 Inner: 3√5 * 3√3 = 9√15 Last: 3√5 * -2√5 = -6√(5^2) = -6 * 5 = -30

Now, sum up the results of these multiplications:

18 - 4√15 + 9√15 - 30

Combine the like terms:

-4√15 + 9√15 = 5√15

So, the simplified expression is:

18 + 5√15 - 30

Combine the constants:

(18 - 30) + 5√15 = -12 + 5√15

Therefore, (2√3 + 3√5)(3√3 - 2√5) simplifies to -12 + 5√15.