Simplify the rational expression.
-$\frac { a y - 3 a + 9 y - 27 } { a y - 3 a + 6 y - 18 }$
A) $\frac { ( a + 9 ) ( y - 3 ) } { ( a + 6 ) ( y + 3 ) }$
B) $\frac { ( a + 9 ) ( y + 3 ) } { ( a + 6 ) ( y - 3 ) }$
C) $\frac { 9 y - 27 } { 6 y - 18 }$
D) $\frac { a + 9 } { a + 6 }$

Question

Quizplus · Accepted Answer

First, factor both the numerator and the denominator. The numerator $a y - 3 a + 9 y - 27$ can be factored as $a(y - 3) + 9(y - 3)$, which simplifies to $(a + 9)(y - 3)$. The denominator $a y - 3 a + 6 y - 18$ can be factored as $a(y - 3) + 6(y - 3)$, which simplifies to $(a + 6)(y - 3)$. When you divide these, the $(y - 3)$ terms cancel out, leaving $\frac{a + 9}{a + 6}$.

Simplify the Rational Expression ay−3a+9y−27ay−3a+6y−18\frac { a y - 3 a + 9 y - 27 } { a y - 3 a + 6 y - 18 }ay−3a+6y−18ay−3a+9y−27​

Simplify the Rational Expression $\frac { a y - 3 a + 9 y - 27 } { a y - 3 a + 6 y - 18 }$