SOLUTION: x^2 + 6x +5/9y^2 times 3y/x+1

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: x^2 + 6x +5/9y^2 times 3y/x+1       Log On


   

Question 118582This question is from textbook
: x^2 + 6x +5/9y^2 times 3y/x+1
 This question is from textbook

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2+%2B+6x+%2B5%29%2F9y%5E2+%2A+3y%2F%28x%2B1%29

3y%28x%5E2+%2B+6x+%2B5%29%2F9y%5E2++%28x%2B1%29......simplify

cross%283%29cross%28y%29%28x%5E2+%2B+6x+%2B5%29%2Fcross%283%293y%5Ecross%282%29%28x%2B1%29

%28x%5E2+%2B+6x+%2B5%29%2F3y++%28x%2B1%29………. replace 6x with x%2B5x

%28x%5E2+%2B+x+%2B+5x+%2B5%29%2F3y++%28x%2B1%29………. group the first two terms together and the last two terms together

%28%28x%5E2+%2B+x%29+%2B+%285x+%2B5%29%29%2F3y+%28x%2B1%29………. factor a 1x out of the first group and factor a 5 out of the second group

%28x%28x+%2B+1%29+%2B+5%28x+%2B+1%29%29%2F3y++%28x%2B1%29………. we have a common term x%2B1 and we can combine the two terms

%28%28x+%2B+5%29+%28x+%2B+1%29%29%2F3y++%28x%2B1%29……….simplify

%28%28x+%2B+5%29+cross%28%28x+%2B+1%29%29%29%2F%28%283y%29cross%28%28x%2B1%29%29%29……….

%28x+%2B+5%29%2F3y+……….your answer