Answer:
(6x + 5) • (6x - 5)
Step-by-step explanation:
36x2-25
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22•32x2) - 25
Step 2 :
Trying to factor as a Difference of Squares :
2.1 Factoring: 36x2-25
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 : 36 is the square of 6
Check : 25 is the square of 5
Check : x2 is the square of x1
Factorization is : (6x + 5) • (6x - 5)
Final result :
(6x + 5) • (6x - 5)
