Question

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?

the quantity of x squared plus 3x minus 18, all over 3 times the quantity of x plus 4
the quantity of x squared plus 4x plus 6, all over the quantity of x plus 7
the quantity of x squared plus 3x minus 18, all over the quantity x plus 7
the quantity of x squared plus 4x plus 6, all over 3 times the quantity of x plus 4

Answer 1

@Cardinal_Carlo I will use the equation maker this time!

Answer 2

\[x ^{2}+4x+6 \over 3(x+4)\]

Answer 3

@Cardinal_Carlo I did it haha

Answer 4

So you have to solve for x right?

Answer 5

that is my answer

Answer 6

yes

Answer 7

good job @iwanttogotostanford

Answer 8

thank you! I finally got it right

Answer 9

i thought i didn't but i did

Answer 10

So first open the brackets.
\[ \frac{ x^2+4x+6 }{ 3x+12 }\]

Answer 11

Just double-checking our work:
\[\frac{ x + 6 }{ x + 4 } + \frac{ x - 3 }{ 3 }\]
\[\frac{3 \left( x + 6 \right) + \left( x +4 \right) \left( x - 3 \right) }{ 3\left( x + 4 \right) }\]
\[\frac{ x ^{2} + 4x + 6 }{ 3x + 12 }\]
Yay!

Answer 12

ok, thanks!

Answer 13

i need help studying for my math test and have a couple of questions, can i still have help?

Answer 14

You got this concept on lock @iwanttogotostanford. Great job!

Answer 15

Sure just post them up, and close this one.