Find the quotient and simplify.
-$\frac { ( y - 2 ) ^ { 2 } } { 3 } \div \frac { 3 y - 6 } { 9 }$
A) $\frac { 3 ( y - 2 ) ^ { 2 } } { 3 y - 6 }$
B) $\frac { 1 } { y - 2 }$
C)y - 2
D) $\frac { ( y - 2 ) ^ { 3 } } { 9 }$

Question

Quizplus · Accepted Answer

Dividing by a fraction is the same as multiplying by its reciprocal. Thus, $\frac { ( y - 2 ) ^ { 2 } } { 3 } \div \frac { 3 y - 6 } { 9 } = \frac { ( y - 2 ) ^ { 2 } } { 3 } \times \frac { 9 } { 3 y - 6 }$. Simplifying, we get $\frac { ( y - 2 ) ^ { 2 } \times 3 } { 3 ( y - 2 ) }$, which simplifies further to $y - 2$.

Find the Quotient and Simplify (y−2)23÷3y−69\frac { ( y - 2 ) ^ { 2 } } { 3 } \div \frac { 3 y - 6 } { 9 }3(y−2)2​÷93y−6​

Find the Quotient and Simplify $\frac { ( y - 2 ) ^ { 2 } } { 3 } \div \frac { 3 y - 6 } { 9 }$