Maths-
General
Easy
Question
What is the simplified form of the rational expressions ? What is the domain for which the identity between the two expressions is valid ?

Hint:
The expansion of the expressions
: respectively. The domain is the set of input values of an expression.
We are asked to simplify the expression and find its domain.
The correct answer is: Here, the denominator of the expression cannot be zero. It is zero when: x + 5 = 0 x = - 5 .
Step 1 of 3:
Simplify the numerator and denominator using the identities.
Start with numerator:


Step 2 of 3:
Simplify the denominator:





Thus, the simplified expression is: 
Step 3 of 3:
Here, the denominator of the expression cannot be zero. It is zero when:
So, the domain of the expression is:
.
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