# Rational Expressions

Simplify. State the restrictions on the variable.

(6y-30/(y-1)) * (5y-5/3y^2-15y)

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(6y-30/(y-1)) * (5y-5/3y^2-15y)
=(6(y-5))/(y-1) * (5(y-1))/(3y(y-5))
=2*(5/y)
=10/y

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2. There were two divisions, one by (y-1) , so y ≠ 1
the other was (3y(y-5)) , so y ≠ 0, 5

= 10/y , y ≠ 0, 1, 5

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