Question

Can someone help me understand this and answer it?
What is the simplified form of the quantity of x plus 6, all over the quantity of x plus 4 + the quantity of x minus 3, all over 3?

Answer 1

Which is:
X+6 X-3
_____ ------
X+4 + 3

Answer 2

This is like adding (1/3) + (1/4), you have to convert the fractions before adding them together:

Answer 3

Do you mean multiplying the denominators so they're the same?

Answer 4

\(\Huge\color{#EB00FF}{\text{WELCOME}}\) \(\Huge\color{blue}{\text{TO}}\) \(\Huge\color{green}{\text{OPEN}}\)\(\Huge\color{purple }{\text{ STUDY!!!!!!!!!!!}}\) \(\Huge\heartsuit\)

Answer 5

My network is dropping my posts.
Yes, so take each fraction. 1/3, for instance. Multiply top and bottom by the other denominator. (1/3) * (4/4) = 4 /12
The other term in my example becomes 3/12, and now you can add 4/12 + 3/12

Answer 6

The first term is easy, right?
X+6 (3)
_____ ___
X+4 (3)

Answer 7

What do you get for the second term? Remember to multiply top and bottom by the bottom of the other term.

Answer 8

Sorry my internet is being a pain too. So the first term would be
3x+18
------
3x+12

and then I believe the 2nd term would be
x-3 (x+4)=
x^2+x-12
----------
3x+12

If thats correct.

Answer 9

is it right to have a trinomial as the numerator?

Answer 10

3x+18 x^2+x-12
------ + ----------
3x+12 3x+12

and then I would just combine the top 2 right? How would I combine that tho

Answer 11

Yes it is!

Answer 12

now add the tops

Answer 13

btw, I would leave the bottom as 3(x+4)
it's easier to see if anything will "cancel" if you do that

Answer 14

well, you combine the fractions just like adding (4/12) +(3/12) = (4+3)/12 = 7/12

Or, are you having trouble adding the two top expressions?
To do this, we 'group like terms together', a math code for
group any terms that have x^2 together, then x terms, then numbers.

So if you had 4x+16 + 3x^2+2x-1
you have 3x^2
+4x+2x
+16-1
And they add to 3x^2 +6x +15

Answer 15

I think I got it, it would be
x^2 +4x+6
----------
3(X+4)

Thank you so much!! I just totally forgot how to do it lol. Will medal and fan.

Answer 16

Last step: factor the top, if you can.

Answer 17

Oh, and pretend I used the correct math terms, "numerator" and "denominator", instead of "top" and "bottom"