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adding and subtracting rational expressions

8/(x^2-4x) + 2/x
adding and subtracting rational expressions

7/(12ab) - 11/(15a^2)
adding and subtracting rational expressions

3/(2x) + 5/(3y)
solve the following

(7)/(12ab) - (11)/(15a^2)
verify that the equation is an identity


sin x + cos x 1 + 2 sin x cos x
----------------- = ------------------------
sin x - cos x 2 sin(to the 2nd power) X - 1
verify that the equation is an identity

tan x(csc x - sin x) = cos x
use the fundamental identities to find an equivalent expression involving only sines and cosines, and then simplify it.


sec(to the 2nd power) X + sin(to the 2nd power) X
simplify the expression

sin x cos x
--------------
tan x
use the fundamental identities to simplify the expression

cos (raised to the 2nd power) X
----------------------------------------- + csc X sin X
sin (raised to the 2nd power) X
find the exact value by using a sum or difference identity

tan 105 degrees
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