Maths-

General

Easy

Question

# Find the Quotient and the domain .

Hint:

### The expansions of certain identities are:

Finding the quotient is same as division. Dividing a number and multiplying it with a reciprocal of the number have the same effect.

We are asked to find the quotient and the domain of the expression.

## The correct answer is: Hence, the domain of the expression is, (-∞,-3)∪(-3,∞)

Step 1 of 3:

The given expression is .

Take the reciprocal of the second expression and then multiply them;

Step 2 of 3:

Simplify the expression and cancel out the common factors;

Thus, the quotient of the expression is:

Step 3 of 3:

The domain of a rational expression should exclude the value for which the denominator attains a zero value. Thus, we have:

Hence, the domain of the expression is, (-∞,-3)∪(-3,∞)

We have to state the domain of a rational expression while simplifying them because we must exclude zeros of a denominator as dividing with zero is not defined.

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