Loading....
Coupon Accepted Successfully!

 

Difference of Squares

One of the most important formulas on the test is the difference of squares:
 
 

 

Caution: a sum of squares,
x2 + y2, does not factor.
 
Example

If x ≠ –2, then

  1. 2(x – 2)
  2. 2(x – 4)
  3. 8(x + 2)
  4. x – 2
  5. x + 4
Solution
In most algebraic expressions involving multiplication or division, you won’t actually multiply or divide, rather you will factor and cancel, as in this problem.
 
by the distributive property ax + ay = a(x + y)
by the difference of squares x2 – y2 = (x + y)(x – y)
2(x – 2) by canceling common factors
 
The answer is (A).
 





Test Your Skills Now!
Take a Quiz now
Reviewer Name