Maths-

General

Easy

Question

# Simplify each expressions and state the domain :

Hint:

### The expansions of some identities are:

We are asked to simplify the expression and find its domain.

## The correct answer is: Here, we used the identity . Initially we took the common values out of the groups.

### Step 1 of 3:

Simplify the numerator of the expression;

Here, we used the identity Initially we took the common values out of the groups.

Step 2 of 3:

Simplify the denominator of the expression;

Here, we used the identity and further factorized it.

Step 3 of 3:

There is no denominator for the given expression. So, the domain is .

When you find the domain of a rational expression exclude the values that bring zero to the denominator.

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### Express the rational expression in its lowest terms .

A rational expression is a fractional form containing polynomials on the denominator and the numerator.

### Express the rational expression in its lowest terms .

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A rational expression is a fractional form containing polynomials on the denominator and the numerator.

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### When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

### When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

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### Explain how you can tell whether a rational expression is in simplest form?

### Explain how you can tell whether a rational expression is in simplest form?

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### Explain the similarities between rational numbers and rational expressions ?

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### Simplify the following expression.

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### Sketch the graph of

### Sketch the graph of

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### Explain how you can use your graphing calculator to show that the rational expressions and

are equivalent under a given domain. What is true about the graph

at x = 0and Why?

### Explain how you can use your graphing calculator to show that the rational expressions and

are equivalent under a given domain. What is true about the graph

at x = 0and Why?

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### If then find the quotient from the following four option, when A is divided by B.

### If then find the quotient from the following four option, when A is divided by B.

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### Find the extraneous solution of

### Find the extraneous solution of

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