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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
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 Ineq. #4:

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 Solve for:

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# Square Formula and Powers with Radicals

## A. Square Formula

Recall the square formula:

Square formula:

1.Square the first term

2.Product times two

3.Square the last term

After applying the square formula with radicals, remember to simplify.

## B. Examples

Example 1: Simplify

Solution

Apply the square formula:

Thus we get

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Example 2: Simplify

Solution

By the square formula, we have

Combining like terms, we have

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Example 3: Simplify

Solution

By the square formula, we have

Combining like terms, we have

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Example 4: Simplify

Solution

By the square formula, we have

Bringing the power to the inside and rearranging, we have

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## C. Powers

Recall that we use the square formula repeatedly with FOIL/factor table.

Example 1: Simplify

Solution

Now apply the square formula:

Combining like terms:

Now use FOIL to get the answer:

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Example 2: Simplify

Solution

Now apply the square formula:

Use the factor table:

Thus we have

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