SOLUTION: please help me divide this rational expression
x^2+6x+9/2x^2y-18y / 6xy+18y/3x^2y-27y
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Question 192413: please help me divide this rational expression
x^2+6x+9/2x^2y-18y / 6xy+18y/3x^2y-27y
Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x^2+6x+9/2x^2y-18y / 6xy+18y/3x^2y-27y
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[(x+3)^2] / [2y(x-3)(x+3)] / [6y(x+3)] / 3y(x-3)(x+3)]
Do some canceling before inverting the denominator:
= [(x+3)/[2y(x-3)] / [2/(x-3)]
Invert the denominator and multiply
= [(x+3)/[2y(x-3)] * [(x-3)/2]
Cancel factors common to a numerator and a denominator:
= [(x+3)/[2(2y)]
= (x+3)/(4y)
=================
Cheers,
Stan H.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
divide this rational expression
-----------
:
Factor
-----------
:
Cancel 3y into 6y, (the denominator fraction), factor (x^2-9)'s
-----------
:
Cancel the x+3's, (both fractions)
-----------
:
Invert the dividing fraction and multiply, cancel (x-3)'s
* = is the solution
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