Question

Evaluate the expression for v = 9 and w = 6. Simplify your answer.

vw − w2
v
=

Answer 1

To evaluate the expression

\[
\frac{vw - w^2}{v}
\]

for \( v = 9 \) and \( w = 6 \), we can first substitute the values into the expression and simplify step by step.

Substituting \( v \) and \( w \):

\[
\frac{(9)(6) - (6)^2}{9}
\]

Calculating \( vw \) and \( w^2 \):

\[
vw = 9 \times 6 = 54
\]
\[
w^2 = 6^2 = 36
\]

Now substitute these values back into the expression:

\[
\frac{54 - 36}{9}
\]

Now, simplify the expression in the numerator:

\[
54 - 36 = 18
\]

So the expression is now:

\[
\frac{18}{9}
\]

Finally, calculate:

\[
\frac{18}{9} = 2
\]

Thus, the simplified answer is:

\[
\boxed{2}
\]