Answer:
12y3 - 4y
Step-by-step explanation:
How to solve your problem
4y (3y2 - 1)
Step 1. Equation at the end of step 1
4y (3y2 -1)
Step 2. Trying to factor as a Difference of Squares:
2.1 Factoring 3y2-1
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: 3 is not a square
Ruling : Binomial can not be factored as the
difference of two perfect squares
Final result :
4y • (3y2 - 1)
