josiahsurfer
contestada

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Factor this expression completely and then place the factors in the proper location on the grid.

Note: Place factors alphabetically in the grid!

ab + 2a + 3b + 6

Respuesta :

kymberlyasher

Hello I'm going to do my best on this

a(b+2) + 3(b+2)  = (b+2)(a+3)  <---simplest form

I hope this helps!!!

facundo3141592

The factorization is:

ab + 2a + 3b + 6 = (3 + a)*(2 + b)

How to factorize the expression?

Here we want to factorize the expression:

ab + 2a + 3b + 6

Notice that there are two variables, a and b.

Because we have a term ab without coefficient, we can assume that the factorization is:

(x + a)*(y + b)

Now we need to solve:

(x + a)*(y + b)  = ab + 2a + 3b + 6

xb + xy + ya + ab = ab + 2a + 3b + 6

The correspondent coefficients must be equal, then we have:

ab = ab

xb = 3b

ya = 2a

xy = 6

From the second equation, we get:

x = 3

From the third equation we get:

y = 2

Replacing that on the fourth equation, we get:

xy = 3*2 = 6

As expected.

Then the factorization is:

ab + 2a + 3b + 6 = (3 + a)*(2 + b)

If you want to learn more about factorization, you can read:

https://brainly.com/question/11579257

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