Question

Three students were given the expression shown and were asked to take a

Answer 1

Step-by-step explanation:

The question is incomplete. Find the complete question attached.

Let us analyze each of the students expression and determine the correct one if there are any.

Chang expression after factoring: 4-3(3x+7)

In order to know whether chang's factorization is similar to the expression, we will expand and compare with the given expression as shown;

= 4-3(3x+7)

Open the parenthesis

= 4 - 3(3x)-3(7)

= 4 - 9x - 21

This shows that Chand expression is wrong.

Hence Chang expression is not an equivalent expression because when -3 is factored out from the bracket,  it supposed to leave a negative sign instead of positive.

Benjamin expression after factoring: 4+3(3x+7)

In order to know whether Benjamin's factorization is similar to the expression, we will expand and compare with the given expression as shown;

= 4+3(3x+7)

Open the parenthesis

= 4 + 3(3x)+3(7)

= 4 +9x + 21

This shows that Benjamin expression is wrong.

Hence Benjamin expression is not an equivalent expression because the positive values within the expression is supposed to be negative sign instead

Habib expression after factoring: 4+12x

The equation is obviously wrong and not an equivalent expression because the constant value 21 does not have a variable x and cannot be added to -9x according to what Habib did.

Given the expression

4 - 9x + 21

The correct simplification of the expression is as shown;

4 - 3(3x - 7)

Note that when -3 is factored out, the sign inside the parenthesis also changes