Simplifying Expressions - SAT Subject Test in Math II

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

Distribute the outer term through both terms in the parentheses.

Multiply each term.

There are no like-terms.

The answer is:

Distribute the integers through the binomials.

Combine like-terms.

The answer is:

We can start by distributing the negative sign in the parentheses term:

Now we can combine like terms. The constants go together, and the variables go together:

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:

Start by distributing the negative sign through the parentheses term:

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

A square root is the inverse of squaring a term, so they cancel each other out:

From there, there's nothing left to simplify.

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:

For the first square root, each term inside has a natural solution. We can take the square root of each term individually because they are multiplied, and then combine them again:

For the second square root, we remember that the square root and a square cancel each other out, and we're left with just the term inside:

We finish by multiplying the terms together:

We start by distributing the term through the parentheses:

Now we combine like terms. Remember, we can't add variables if they have different exponent terms:

Start by distributing the term:

Now combine like terms. Remember, if a variable has a different exponent, you can't add them:

Start by distributing the term:

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

Start by distributing the term:

Now combine like terms. Remember, you can't add or subtract variables with different exponents:

Multiply the right terms.

Convert to common denominators.

The answer is: