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Simplify the rational expression. If the rational e (x²+xy-2y²)/(5x²+9xy-2y^(2))

Simplify the rational expression. If the rational e (x²+xy-2y²)/(5x²+9xy-2y^(2))
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Simplify the rational expression. If the rational e (x²+xy-2y²)/(5x²+9xy-2y^(2))

User Nekia
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1 Answer

4 votes

Answer:

Hi,

Explanation:


x^2+xy-2y^2=x^2+2xy-xy-2y^2=x(x+2y)-y(x+2y)=(x+2y)(x-y)\\\\5x^2+9xy-2y^2=5x^2+10xy-xy-2y^2=5x(x+2y)-y(x+2y)=(x+2y)(5x-y)\\\\\\(x2xy-2y^2)/(5x^2+9xy-2y^2) =((x+2y)(x-y))/((x+2y)(5x-y)) =(x-y)/(5x-y)

User Apurba Pandey
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