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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

Ans Example 2: Simplify Solution

By the square formula, we have Combining like terms, we have

Ans Example 3: Simplify Solution

By the square formula, we have Combining like terms, we have

Ans Example 4: Simplify Solution

By the square formula, we have Bringing the power to the inside and rearranging, we have

Ans ## 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:

Ans Example 2: Simplify Solution Now apply the square formula: Use the factor table: Thus we have

Ans 