Respuesta :

g^2 - 4g - 21 = (g-7)(g+3)

Step 1: Create an X Puzzle
In order to do this, create a big x on a piece of paper. Then place the -21 on the top space and place the -4 from the 4g on the bottom space. Next, you have to figure out what two numbers multiply to equal -21, and what two numbers add up to equal -4. Those two numbers are the numbers that you put in the side spaces. You should end up getting -7 and +3.

Step 2: Those two numbers can now be used to complete your equation. 

I hope this helps you. I know my explanation in Step 1 was probably confusing!

The equation that shows two equivalent expressions is:

[tex]g^2-4g-21=(g-7)(g+3)[/tex]

Solving quadratic equations

The given quadratic expression [tex]g^2-4g-21[/tex] is:

This can be further simplified as:

[tex]g^2-7g+3g-21[/tex]

Factor the common terms in the expression

[tex]g(g-7)+3(g-7)\\\\(g-7)(g+3)[/tex]

Therefore, the equation that shows two equivalent expressions is:

[tex]g^2-4g-21=(g-7)(g+3)[/tex]

Learn more on quadratic equations here: https://brainly.com/question/1214333

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