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)