Question

Simplify the following expression.

(63x + 62y) - (8x + 34y)
A.
71x + 28y
B.
55x + 96y
C.
55x + 28y
D.
71x + 96y

Answer 1

To simplify the expression \((63x + 62y) - (8x + 34y)\), we can start by distributing the negative sign through the second set of parentheses:

\[
(63x + 62y) - (8x + 34y) = 63x + 62y - 8x - 34y
\]

Next, we combine like terms for \(x\) and \(y\):

For the \(x\) terms:
\[
63x - 8x = 55x
\]

For the \(y\) terms:
\[
62y - 34y = 28y
\]

Now, we can combine these results:

\[
55x + 28y
\]

Thus, the simplified expression is:

\[
\boxed{55x + 28y}
\]

So the correct answer is **C. \(55x + 28y\)**.