Answer: 2x+3
Step-by-step explanation: Simplify ———————
2x - 3
Trying to factor as a Difference of Squares:
2.1 Factoring: 4x2 - 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 : 4 is the square of 2
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (2x + 3) • (2x - 3)
Canceling Out :
2.2 Cancel out (2x - 3) which appears on both sides of the fraction line.
Final result :
2x + 3