Simplify the expression.
-$\frac { a ^ { 2 } - a b + 9 a - 9 b } { a + 9 }$
A) $\frac { 1 } { a + 9 }$
B) $\frac { a ^ { 2 } - a b + 9 a - 9 b } { a + 9 }$
C)a - 2b + 1
D)a - b

Question

Quizplus · Accepted Answer

The expression simplifies to $a - b$ by factoring the numerator as follows: $a^2 - ab + 9a - 9b = a(a - b) + 9(a - b) = (a + 9)(a - b)$. Then, dividing by $a + 9$ gives $a - b$.

Simplify the Expression a2−ab+9a−9ba+9\frac { a ^ { 2 } - a b + 9 a - 9 b } { a + 9 }a+9a2−ab+9a−9b​

Simplify the Expression $\frac { a ^ { 2 } - a b + 9 a - 9 b } { a + 9 }$