**Factoring**

**Perfect Squares and Perfect Cubes**

The following is
a list of perfect squares.

1^{2} = 1

2^{2} = 4

3^{2} = 9

4^{2} = 16

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

9^{2} = 81

10^{2} = 100

11^{2} = 121

12^{2} = 144

If a variable with an exponent has an even exponent then it is a perfect
square. To get the square root, we simply divide the exponent by 2. For
example x^{8} is a perfect square, its square root is x^{4}
. x^{11} is not a perfect square.

The following is a list of perfect Cubes

1^{3} = 1

2^{3} = 8

3^{3} = 27

4^{3} = 64

5^{3} = 125

6^{3} = 216

7^{3} = 343

8^{3} = 512

9^{3} = 729

10^{3} = 1000

If a variable with an exponent has an exponent which is divisible by
3 then it is a perfect cube. To get the cube root, we simply divide the
exponent by 3. For example x^{9} is a perfect cube, its cube root
is x^{3} . x^{11} is not a perfect cube.