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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