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Perfect Square Trinomials

Like the difference of squares formula, perfect square trinomial formulas are very common on the test.
 

 

For example, .
 
Note: In a perfect square trinomial, the middle term is twice the product of the square roots of the outer terms.
 
Example

If , then

  1. –4
  2. 4
  3. 8
  4. 16
  5. 64
Solution

 
by the formula
by cubing both sides of the equation
by the rule
 
The answer is (E).
 





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