<PRE><B>Question 1112495</B>
 Explain what we must do to simplify and reduce the rational expression. Than solve the steps to reduce it to lowest terms. 

	(10x -15y)/(6y -4x)
= -(10x -15y)/(4x - 6y)
Divide the NUM by 5 and the DEN by 2
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6. Perform the indicated operation. Show the steps  in factoring and reducing the answers to lowest terms. 
	(8x^3-27y^3)/(6y -4x^2+2xy-15y^2) + (9y^2-4x^2)/(2x^2-3xy-9y^2)
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= (8x^3-27y^3)/(6y -4x^2+2xy-15y^2) + (9y^2-4x^2)/(2x^2-3xy-9y^2)
Factoring is not always obvious, but you learn nothing by having someone else do it.
Try it.
email via the TY note for help or to check you work.
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Hint:  (8x^3-27y^3) is a difference of 2 cubes.
a^3 - b^3 = (a-b)*(a^2 + ab + b^2)
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(9y^2 - 4x^2) is a difference of 2 squares.
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