10 ### Algebraic Fraction SimplificationSimplify the following expression:\[\frac{2a - 1}{2a - 3} - \frac{2a^2 - 5a + 4}{8a^2 - 22a + 15} - \frac{3a - 2}{4a - 5}\]Choose the correct simplified form from the options provided:- \(\circ\) \(-\frac{3}{7}\)- \(\circ\) \(\frac{1}{2a - 3}\)- \(\circ\) \(\frac{2a^2 - 6a + 15}{8a^2 - 22a + 15}\)#### Explanation of the ProblemIn this algebraic expression, we are given three rational expressions involving the variable \( a \). To solve the problem, we need to find a common denominator among the fractions, combine them, and then simplify the resulting expression.Each option represents a possible simplified form of the given expression. Attention must be paid to the arithmetic involving polynomials in both the numerators and the denominators.#### Detailed Steps1. Identify the least common multiple (LCM) of the denominators.2. Rewrite each fraction with the LCM as the new denominator.3. Combine the numerators according to the arithmetic operations.4. Simplify the resulting expression, if possible.This type of problem helps in understanding the methods used for handling complex rational expressions and is foundational for higher-level algebra and calculus.Choose the option that correctly simplifies the given expression.

Name: 10 ### Algebraic Fraction SimplificationSimplify the following express
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 10 ### Algebraic Fraction SimplificationSimplify the following expression:\[\frac{2a - 1}{2a - 3} - \frac{2a^2 - 5a + 4}{8a^2 - 22a + 15} - \frac{3a - 2}{4a - 5}\]Choose the correct simplified form from the options provided:- \(\circ\) \(-\frac{3}{7}