What is 8b2 - 8 factored?

8 • (b + 1) • (b - 1)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 23b2 -  8

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  8b2 - 8  =   8 • (b2 - 1)

Trying to factor as a Difference of Squares :

3.2      Factoring:  b2 - 1

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check :  b2  is the square of  b1

Factorization is :       (b + 1)  •  (b - 1)

Final result :

 8 • (b + 1) • (b - 1)