Question

Solve the quadratic equation
9m2=25

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Answer 1

Answer:

(3m + 5) • (3m - 5)

Step-by-step explanation:

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 : 9 is the square of 3

Check : 25 is the square of 5

Check : m2 is the square of m1

Factorization is : (3m + 5) • (3m - 5)