Answer:

Step-by-step explanation:
Given expression:

Let u = (x - y):

To factor a quadratic in the form
find two numbers that multiply to
and sum to
:


Therefore, the numbers are: -6 and -4.
Rewrite
as the sum of these two numbers:

Factor the first two terms and the last two terms separately:

Factor out the common term (u - 2):

Substitute back in u = (x - y):

Simplify:

Cute one!
<span>
</span>Summarizing:
<span>sec(acot(tan(asin(sin(pi/3)))) .... use asin(sin(x))=x
</span>=sec(acot(tan(pi/3)))
=sec(acot(sqrt(3))) ......... use acot(x)=atan(1/x)
=sec(atan(1/sqrt(3)))
=sec(atan(sqrt(3)/3)) .... evaluate atan(sqrt(3)/3), use unit circle
=sec(pi/6)
=1/cos(pi/6)...... evaluate cos(pi/6), use unit circle
=1/(sqrt(3)/2)
=2/sqrt(3) .... now rationalize
=2sqrt(3)/3
Answer:
C. 
Step-by-step explanation:
We know that,
A radical equation is the equation in which the variable is under the radical.
According to the options, we see that,
In the equation
, the variable is under the radical.
All other equations have constant number under the radical.
Thus, we get,
Equation C i.e.
is a radical equation.