Answer:
(5b+3)⋅(5b−3)
Step-by-step explanation:
Equation at the end of step 1
52b2 - 9
STEP
2
:
Trying to factor as a Difference of Squares
2.1 Factoring: 25b2-9
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 : 25 is the square of 5
Check : 9 is the square of 3
Check : b2 is the square of b1
Factorization is : (5b + 3) • (5b - 3)
Final result :
(5b + 3) • (5b - 3)
