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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