To solve this expression, you need to remove the parentheses, being careful to account for the negative prior to the second set of parentheses. To distribute that negative, take the opposite of each sign for that set of values. Then, combine like terms:

To solve this expression, you need to remove the parentheses, being careful to account for the negative prior to the second set of parentheses. To distribute that negative, take the opposite of each sign for that set of values. Then, combine like terms:

This problem features a common quadratic type, the "Difference of Squares" structure, in which . If you quickly see that structure, you should see that needs to be the square root of , meaning that it's (or ). That makes the answer .

Of course, you can also use classic quadratic factoring and FOIL to solve this, also. If you were to FOIL the algebraic expression on the right hand side of the equation, you'd get:

Note that those middle two terms cancel, leaving just . This also tells you that needs to be the square root of , meaning that or . Only is listed as an answer choice, so that is your answer.

This problem features a common quadratic type, the "Difference of Squares" structure, in which . If you quickly see that structure, you should see that needs to be the square root of , meaning that it's (or ). That makes the answer .

Of course, you can also use classic quadratic factoring and FOIL to solve this, also. If you were to FOIL the algebraic expression on the right hand side of the equation, you'd get:

Note that those middle two terms cancel, leaving just . This also tells you that needs to be the square root of , meaning that or . Only is listed as an answer choice, so that is your answer.

To solve this problem algebraically, first recognize that the term means you're dealing with a quadratic. To solve for a quadratic, perform the necessary algebra to set the equation equal to 0. Here that means subtracting 24 from each side to reach:

From here, remember that your goal when factoring a quadratic is to find terms that multiply to the last term (the numerical term) and sum to the middle term (the linear term). That should lead you to:

Then the last, very critical step, is to set each parentheses equal to zero to officially solve the problem. That means that:

yields a solution of

yields a solution of

Of those, only is an answer, so is correct.

To solve this problem algebraically, first recognize that the term means you're dealing with a quadratic. To solve for a quadratic, perform the necessary algebra to set the equation equal to 0. Here that means subtracting 24 from each side to reach:

From here, remember that your goal when factoring a quadratic is to find terms that multiply to the last term (the numerical term) and sum to the middle term (the linear term). That should lead you to:

Then the last, very critical step, is to set each parentheses equal to zero to officially solve the problem. That means that:

yields a solution of

yields a solution of

Of those, only is an answer, so is correct.

A look at the answer choices tells you that you need to simplify the expression to arrive at fewer terms. To simplify this expression, you need to remove the parentheses and combine like terms. Fortunately, the process is to add the two parentheses and there are no coefficients or negatives between them, so you can simply lift the parentheses entirely and then combine. That leaves you with:

A look at the answer choices tells you that you need to simplify the expression to arrive at fewer terms. To simplify this expression, you need to remove the parentheses and combine like terms. Fortunately, the process is to add the two parentheses and there are no coefficients or negatives between them, so you can simply lift the parentheses entirely and then combine. That leaves you with:

To simplify, remove parentheses and combine like terms, remembering the ever-important step of applying the negative sign to each term within the second set of parentheses:

To simplify, remove parentheses and combine like terms, remembering the ever-important step of applying the negative sign to each term within the second set of parentheses: