Question

Simplify the following expression.

(81x - 70y) - (63x + 34y)
A.
18x + 36y
B.
18x - 36y
C.
18x + 104y
D.
18x - 104y

Answer 1

To simplify the expression \((81x - 70y) - (63x + 34y)\), we'll first distribute the negative sign across the second set of parentheses:

\[
(81x - 70y) - (63x + 34y) = 81x - 70y - 63x - 34y
\]

Next, we'll combine like terms. First, we'll combine the \(x\) terms:

\[
81x - 63x = 18x
\]

Now, we'll combine the \(y\) terms:

\[
-70y - 34y = -104y
\]

Putting it all together, we have:

\[
18x - 104y
\]

Thus, the simplified expression is:

\[
\boxed{18x - 104y}
\]

So the correct answer is D: \(18x - 104y\).