Answer:
(5m + 6) • (5m - 6)
Step-by-step explanation:
STEP1:Equation at the end of step 1 52m2 - 36 STEP2:Trying to factor as a Difference of Squares
2.1 Factoring: 25m2-36
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 : 36 is the square of 6
Check : m2 is the square of m1
Factorization is : (5m + 6) • (5m - 6)
Final result :
(5m + 6) • (5m - 6)
