+0  
 
0
44
5
avatar+56 

Show that 3 - 2x^2 + 11x + 12 / x^2 +7x +12 can be simplified to x+6 / x+3

thx

YEEEEEET  Nov 11, 2017

Best Answer 

 #3
avatar+6881 
+2

\(3-\dfrac{2x^2+11x+12}{x^2+7x+12}\\ =3-\dfrac{(2x+3)(x+4)}{(x+3)(x+4)}\\ =3-\dfrac{2x+3}{x+3}\;,\;x\neq-4\\ =\dfrac{3x+9}{x+3}-\dfrac{2x+3}{x+3}\;,\;x\neq-4\\ =\dfrac{x+6}{x+3}\;,\;x\neq-4\)

The answer you wanted :)

MaxWong  Nov 12, 2017
Sort: 

5+0 Answers

 #1
avatar
0

Check your question and make sure it is OK. "3 -" at the beginning??

Guest Nov 12, 2017
 #2
avatar+56 
0

ye its definitely 3- which is why im confused

YEEEEEET  Nov 12, 2017
edited by YEEEEEET  Nov 12, 2017
 #3
avatar+6881 
+2
Best Answer

\(3-\dfrac{2x^2+11x+12}{x^2+7x+12}\\ =3-\dfrac{(2x+3)(x+4)}{(x+3)(x+4)}\\ =3-\dfrac{2x+3}{x+3}\;,\;x\neq-4\\ =\dfrac{3x+9}{x+3}-\dfrac{2x+3}{x+3}\;,\;x\neq-4\\ =\dfrac{x+6}{x+3}\;,\;x\neq-4\)

The answer you wanted :)

MaxWong  Nov 12, 2017
 #4
avatar+56 
0

i have no idea how you simplified the 3- can you explain that please thx

YEEEEEET  Nov 12, 2017
 #5
avatar
0

Max used the common denominator x + 3 as follows:

 

3/1 - [2x + 3 /x + 3]   Use the common denominator of x + 3 and multiply it by 3:

3[x + 3] - [2x + 3] /[x + 3]

 

[3x + 9]   [2x + 3]

_____  _  _____

[x + 3]       [x + 3]

Guest Nov 12, 2017

4 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details