Sure! Let's solve the given mathematical expression step-by-step.
We need to simplify the expression:
[tex]\[
\frac{a^4 b c - 4 x^4 y^{10}}{a^2 b^3 - 2 x^2 y^5}
\][/tex]
### Step-by-Step Solution:
1. Identify the Numerator and Denominator:
The given expression has:
- Numerator: \( a^4 b c - 4 x^4 y^{10} \)
- Denominator: \( a^2 b^3 - 2 x^2 y^5 \)
2. Expression Simplification:
We need to simplify the fraction as much as possible. In this case, the expression cannot be reduced further because the terms in the numerator and the denominator do not have common factors that can be factored out.
3. Final Simplified Form:
Given that no further simplification is possible, the expression remains in its original form:
[tex]\[
\frac{a^4 b c - 4 x^4 y^{10}}{a^2 b^3 - 2 x^2 y^5}
\][/tex]
So, the simplified form of the given expression is:
[tex]\[
\frac{a^4 b c - 4 x^4 y^{10}}{a^2 b^3 - 2 x^2 y^5}
\][/tex]
