Question

Simplify 15x to the 5th or minus 3x + 9x squared over 3x write your answer in standard form

Answer 1

To simplify the expression \( \frac{15x^5 - 3x + 9x^2}{3x} \), we will divide each term in the numerator by \( 3x \).

Starting with the expression:

\[
\frac{15x^5 - 3x + 9x^2}{3x}
\]

We can separate this into individual fractions:

\[
= \frac{15x^5}{3x} - \frac{3x}{3x} + \frac{9x^2}{3x}
\]

Now we will simplify each term:

1. For \( \frac{15x^5}{3x} \):
\[
= 5x^{5-1} = 5x^4
\]

2. For \( -\frac{3x}{3x} \):
\[
= -1 \quad (\text{since } x \neq 0)
\]

3. For \( \frac{9x^2}{3x} \):
\[
= 3x^{2-1} = 3x
\]

Now we combine the simplified terms:

\[
5x^4 - 1 + 3x
\]

Putting it in standard form, we should write the terms in descending order of the powers of \( x \):

\[
5x^4 + 3x - 1
\]

Thus, the simplified expression in standard form is:

\[
\boxed{5x^4 + 3x - 1}
\]