Respuesta :

Answer:

its 6.

hope it helps.. its 6.

Answer: Two solutions were found :

q = 6

q = -6

Step-by-step explanation:   Factoring:  36-q2

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 :  q2  is the square of  q1

Factorization is :       (6 + q)  •  (6 - q)

(q + 6) • (6 - q)  = 0

A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

 Solve  :    q+6 = 0

Subtract  6  from both sides of the equation :

                     q = -6

Solve  :    -q+6 = 0

Subtract  6  from both sides of the equation :

                     -q = -6

Multiply both sides of the equation by (-1) :  q = 6

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