stucki'm stuck in evaluation of the expression 1/xy(x+y+z)+1/yz(x+y+z)+1/zx(x+y+z)

4 Answers

terryhi's profile pic

terryhi | Elementary School Teacher | (Level 1) Adjunct Educator

Posted on


The least common denominator is xyz(x+y+z)

Since this is not a full equation- it does not have "=" sign-, we cannot multiply least common denominator. But, we can combine the phrase using the least common denominator.


Notice if you eliminate the bracket, the value of the equation has not changed.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

Since the fractions don't have a common denominator, we'll have to find LCD:

LCD = xyz(x+y+z)

We'll multiply by LCD each fraction:


We'll simplify and we'll get:

z + x + y

After the evaluation of the expression, we've get the result:

1/xy(x+y+z)+1/yz(x+y+z)+1/zx(x+y+z) = x + y + z

alone-'s profile pic

alone- | Student, Grade 9 | (Level 1) eNoter

Posted on

Sorry i got  mixed up on the first part.