Question

True or False: The least common denominator of each denominator in the following rational expression is (z-4)(z+4)(z-1)(z+1):
8 / z^2+5z+4 = 1 / z-4 + 1 / z-1

I am stuck on this one...

Answer 1

z^2+5z+4 = (z+1)(z+4)

Now you have denominators
(z+1)(z+4), (z-1) and (z-4)

They have no factors in common, so the LCD is the product of all the denominators. The statement is TRUE.

Answer 2

Ok, thank you!

Answer 3

Thus sucks bro