Question

What expression is equivalent to 8p + 8/-32p + 4?

Answer 1

Let's simplify the expression given:

\[
8p + \frac{8}{-32p} + 4
\]

First, simplify the fraction \(\frac{8}{-32p}\):

\[
\frac{8}{-32p} = \frac{8 \div 8}{-32p \div 8} = \frac{1}{-4p} = -\frac{1}{4p}
\]

Now, substitute this back into the expression:

\[
8p - \frac{1}{4p} + 4
\]

Next, we can rewrite the expression as follows:

\[
8p + 4 - \frac{1}{4p}
\]

This is the simplified form of the original expression. If we want to express it differently, we can rearrange the terms, but fundamentally, this expression is equivalent to the original:

\[
8p + 4 - \frac{1}{4p}
\]

Thus, the final equivalent expression is:

\[
8p + 4 - \frac{1}{4p}
\]