https://file.aiquickdraw.com/mathbot/file/1726618185478wbn8dgud.jpg

It seems that the text extracted from the image contains a lot of noise and is difficult to interpret directly from the OCR output.

However, from the clear visual portion of the image, I can see that the expression provided for evaluation is:

\[
(b + a)(b - a) + a^2
\]

with the values \( a = 2 \), \( b = 7 \), and \( c = 6 \). Though \( c \) is not used in this specific expression, we will proceed to evaluate the expression by substituting the values of \( a \) and \( b \).

The expression simplifies as:

\[
(b + a)(b - a) + a^2
\]

Let me calculate that for you.The evaluated result of the expression \((b + a)(b - a) + a^2\) when \(a = 2\) and \(b = 7\) is:

\[
49
\]

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How does the expression \((b + a)(b - a)\) relate to the difference of squares?
2. What would happen if we included \(c = 6\) in a different expression?
3. How would the result change if the values of \(a\) and \(b\) were swapped?
4. Can you expand and simplify the expression \((b + a)(b - a)\)?
5. How would this problem change if we used a function \(f(a, b)\) to represent the expression?

**Tip:** The expression \((b + a)(b - a)\) is equivalent to \(b^2 - a^2\), known as the difference of squares formula.

(b + a)(b - a) + a^2 with a = 2, b = 7, and c = 6

Learn how to evaluate the expression (b + a)(b - a) + a^2 when a = 2 and b = 7. This problem covers the algebraic concept of difference of squares and is 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