Answer:
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)
