i am up to this point in my problem but i don't know what to do next with it can someone show me.
Directions: Simplify by combining like terms
x radical(18) minus 3radical(8x^2)
these are the steps that i've done so far.
= x radical (2*9) -3radical (2*4*x^2)
= x radical (2) * radical (9) - 3 radical (2) * radical (4) * radical (x^2)
=x * radical (2) * 3 - 3*radical (2) * 2 * x
from here i do not know can someone help me finish.
You are so close
=x*√2*3-3*√2*2*x
=3x√2-6x√2
=-3x√2 or -3√2*x
class in 5
To continue simplifying the expression, we can combine like terms. In this case, the like terms are the ones with the same radical, which is √2.
We have:
3x√2 - 6x√2
To combine these terms, we can focus on the coefficient (number in front of the radical), which is 3x and -6x. Since they have the same radical, we can factor out the √2:
= (√2)(3x - 6x)
Next, we can simplify the coefficient inside the parentheses:
= (√2)(-3x)
Finally, we can bring the radical back:
= -3x√2
So, the simplified expression is -3x√2.