Question

Hi please answer ASAP worth 25 points! :P

Factor completely over the set of complex numbers using the factoring pattern.
25m^2 + 36

Answer 1

(5m + 6) • (5m - 6)

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)