Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 150926: X2+x+3 4X +3
______ + ______
X+2 x+2: X2+x+3 4X +3
______ + ______
X+2 x+2
Answer by jim_thompson5910(8290) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2+x+3)/(x+2)+(4x+3)/(x+2) Start with the given expression.


(x^2+x+3+4x+3)/(x+2) Combine the fractions.


(x^2+5x+6)/(x+2) Combine like terms.


((x+3)(x+2))/(x+2) Factor x^2+5x+6 to get (x+3)(x+2).


((x+3)highlight((x+2)))/(highlight((x+2))) Highlight the common terms.


((x+3)cross((x+2)))/(cross((x+2))) Cancel out the common terms.


x+3 Simplify.


So (x^2+x+3)/(x+2)+(4x+3)/(x+2) simplifies to x+3.


In other words, (x^2+x+3)/(x+2)+(4x+3)/(x+2)=x+3 where x<>-2