https://file.aiquickdraw.com/mathbot/file/1725453639091xldkjicp.jpg

In rational algebratic expression but give me the answer and the solution without to explain pls

from sympy import symbols, simplify

# Define the variables
a, b = symbols('a b')

# Define the algebraic expressions
expr1 = (15*a - 35)/25 + 6*a**2/(3*a - 7) + a**2/35
expr2 = 8/(b**2 - 4) + (b - 2)/(2*b + 4) + 4/(2*(b + 2)**2)

# Simplify the expressions
simplified_expr1 = simplify(expr1)
simplified_expr2 = simplify(expr2)

simplified_expr1, simplified_expr2Here are the simplified forms of the algebraic expressions:

1. The first expression simplifies to:
\[
\frac{3a^3 + 266a^2 - 294a + 343}{35(3a - 7)}
\]

2. The second expression simplifies to:
\[
\frac{\frac{1}{2}b^3 - b^2 + 8b + 16}{b^3 + 2b^2 - 4b - 8}
\]

Let me know if you need further details or have any questions.

### Related Questions:
1. How would the expressions change if \(a\) or \(b\) had different constraints?
2. Can you factorize the numerators of the simplified expressions further?
3. How can these rational expressions be used in real-world applications?
4. What happens if \(a = 0\) or \(b = 0\) in these expressions?
5. How can we find the domain of the original and simplified expressions?

**Tip:** Always check for any restrictions in the denominator when simplifying rational expressions to avoid undefined expressions.

Simplify the given rational algebraic expressions.

Learn how to simplify complex rational algebraic expressions with multiple terms. This problem involves key algebraic concepts such as rational expressions, factoring, and simplification techniques. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation