Because we are only multiplying terms in the numerator, we can disregard the parentheses.

To combine like terms in the numerator, we add their exponents.

To combine like terms between the numerator and denominator, subtract the denominator exponent from the numerator exponent.

Remember that any negative exponents stay in the denominator.

A quadratic trinomial is a perfect square if and only if takes the form

for some values of and .

, so

and .

For to be a perfect square, it must hold that

,

so . This is the correct choice.

Simplify the numerator by multiplying in the term

Cancel out like terms in the numerator and denominator.

When simplifying an equation,you must find a common factor for all values in the equation, including both sides.

and, can all be divided by so divide them all at once

.

This leaves you with

.

Any nonzero expression raised to the power of 0 is equal to 1. Therefore,

To begin, let's rewrite the equation so the square root is a fraction in the exponent:

From here, we can simplify the exponent:

Now we change the exponent fraction back into a square root:

To simplify, we begin by simplifying the numerator. When muliplying like bases with different exponents, their exponents are added.

For x:

For y:

For z:

The numerator is now .

When dividing like bases, their exponents are subtracted.

For x:

For y:

For z:

Thus, our answer is .

Start by distributing the negative sign through the parentheses term:

Now combine like terms. Each variable can't be combined with different variables:

Start by distributing the term:

Now collect like terms. Remember, you can't add or subtract variables that have different exponents:

First, we can distribute the negative sign through the parentheses term:

Now we gather like terms. Remember, you can't gather different variables together. The 's and 's will still be separate terms: