https://file.aiquickdraw.com/mathbot/file/1726621448750mc956ogb.jpg

The expression you provided is:

\[
\frac{a^2 + 4a + 7b}{5 - a^3}
\]

where \(a = 2\) and \(b = 6\). We can substitute these values into the expression to find the result.

Let me compute this for you.The value of the expression \(\frac{a^2 + 4a + 7b}{5 - a^3}\) when \(a = 2\) and \(b = 6\) is \(-18\).

Would you like more details on the steps, or do you have any questions?

Here are 5 related questions to explore:
1. How does the value change if \(a = 3\) and \(b = 5\)?
2. What happens if the denominator becomes 0, and why is this problematic?
3. How would this expression change if you added a constant to both the numerator and the denominator?
4. Can you simplify this expression algebraically before substituting the values?
5. How can you graph the function represented by this expression for varying values of \(a\) and \(b\)?

**Tip:** Always check if the denominator in a rational expression equals zero to avoid undefined results.

The expression is \(\frac{a^2 + 4a + 7b}{5 - a^3}\) where \(a = 2\) and \(b = 6\).

Learn how to solve the rational expression \(\frac{a^2 + 4a + 7b}{5 - a^3}\) by substituting \(a = 2\) and \(b = 6\). This solution covers substitution in algebraic expressions and key algebraic concepts, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation