Problem #1

Simplify by combining like terms.
x�ã(18) -3�ã(8x^2)

My answer: -3x�ã(2)

Problem #2
Simplify each radical expression.
(�ã(3) + 5)(�ã(3) - 3)
My answer: -12

see my previous post, don't understand your symbol ã

sorry they are radicals

No problem! I'll explain how to simplify these expressions step-by-step.

Problem #1:
To simplify the expression x�ã(18) - 3�ã(8x^2), we need to first simplify each radical separately. Let's start with the first term:

x�ã(18)

The square root of 18 can be simplified as follows:
�ã(18) = �ã(9 * 2) = �ã(9) * �ã(2) = 3�ã(2)

So, the first term becomes x * 3�ã(2) = 3x�ã(2).

Now let's move on to the second term:

-3�ã(8x^2)

The square root of 8x^2 can be simplified as follows:
�ã(8x^2) = �ã(4 * 2x^2) = �ã(4) * �ã(2x^2) = 2�ã(2) * x

So, the second term becomes -3 * 2�ã(2) * x = -6x�ã(2).

Now we can combine like terms by adding 3x�ã(2) and -6x�ã(2):

3x�ã(2) + (-6x�ã(2)) = 3x�ã(2) - 6x�ã(2) = -3x�ã(2).

Therefore, the simplified expression is -3x�ã(2).

Problem #2:
To simplify the expression (�ã(3) + 5)(�ã(3) - 3), we need to use the distributive property. Let's multiply the two binomials:

(�ã(3) + 5)(�ã(3) - 3) = �ã(3) * �ã(3) + �ã(3) * (-3) + 5 * �ã(3) + 5 * (-3)

�ã(3) * �ã(3) = 3
�ã(3) * (-3) = -3�ã(3)
5 * �ã(3) = 5�ã(3)
5 * (-3) = -15

Put them all together:

3 + (-3�ã(3)) + 5�ã(3) - 15 = -12 + 2�ã(3)

So, the simplified expression is -12 + 2�ã(3).

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