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-Rational expressions and Equations-Simplify each and leave answer in factored form

-Rational expressions and Equations-Simplify each and leave answer in factored form-example-1
User Mishimay
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1 Answer

2 votes

Answer:

To Simplify each and leave answer in factored form ​

1)


(18x^3y)/(4x^4y)

Cancelling the cmmon terms, we get,


=(9)/(2x)

2)


(30+42n)/(9mn)

Since the denominator is common to both the terms over addition , we get


=(30)/(9mn)+(42n)/(9mn)
=(10)/(3mn)+_{}(14)/(3m)

3)


(2x^2+xy-y^2)/(3x^2+3xy)

we get,


=(2x^2+xy+xy-xy-y^2)/(3x^2+3xy)
=(2x^2+2xy-xy-y^2)/(3x^2+3xy)
=(2x^2+2xy)/(3x^2+3xy)-(xy+y^2)/(3x^2+3xy)


=(2(x^2+xy))/(3(x^2+xy))-(xy+y^2)/(3x^2+3xy)
=(2)/(3)-(xy+y^2)/(3x^2+3xy)

User Marekj
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