Find the product and simplify.
-$\frac { ( a - z ) ^ { 2 } } { a + z } \cdot \frac { a } { a ^ { 2 } - a z }$
A) $\frac { a - z } { a + z }$
B)1
C) $\frac { a + z } { a - z }$
D) $\frac { z } { a + z }$

Question

Quizplus · Accepted Answer

The given expression can be simplified by factoring and canceling common terms. The first fraction is $\frac{(a-z)^2}{a+z}$, and the second fraction is $\frac{a}{a^2-az}$. The denominator of the second fraction can be factored as $a(a-z)$. Thus, the expression becomes $\frac{(a-z)^2}{a+z} \cdot \frac{a}{a(a-z)}$. Canceling $a$ and one $(a-z)$ term from the numerator and denominator, we get $\frac{a-z}{a+z}$.

Find the Product and Simplify (a−z)2a+z⋅aa2−az\frac { ( a - z ) ^ { 2 } } { a + z } \cdot \frac { a } { a ^ { 2 } - a z }a+z(a−z)2​⋅a2−aza​

Find the Product and Simplify $\frac { ( a - z ) ^ { 2 } } { a + z } \cdot \frac { a } { a ^ { 2 } - a z }$