Sure, let's simplify the given expression step by step:
The original expression is:
[tex]\[ 92 x^2 + x - 1 + x y + \frac{2 x^3}{x} \][/tex]
1. Simplify the term [tex]\(\frac{2 x^3}{x}\)[/tex]:
[tex]\[
\frac{2 x^3}{x} = 2 x^2
\][/tex]
2. Substitute the simplified term back into the expression:
[tex]\[
92 x^2 + x - 1 + x y + 2 x^2
\][/tex]
3. Combine like terms [tex]\(92 x^2\)[/tex] and [tex]\(2 x^2\)[/tex]:
[tex]\[
92 x^2 + 2 x^2 = 94 x^2
\][/tex]
4. Combine all the terms together:
[tex]\[
94 x^2 + x + x y - 1
\][/tex]
So, the simplified expression is:
[tex]\[ 94 x^2 + x + x y - 1 \][/tex]
This matches choice A. Therefore, the correct answer is:
A [tex]\(94 x^2 + x + x y - 1\)[/tex]
