Find X29a2+6ab+b26a2-3ab+b29a2-6ab+b29a2-6ab-b2

Let's simplify the given expression step by step:

The expression is:

\[
X29a^2 + 6ab + b2(6a^2 - 3ab + b2) + 9a^2 - 6ab + b^2 - 6ab - b^2
\]

First, let's group the like terms together:

\[
(X29a^2 + 9a^2) + (6ab - 3ab - 6ab - 6ab) + (b2 + b^2 - b^2)
\]

Simplify each group:

1. **For the \(a^2\) terms:**
   \[
   X29a^2 + 9a^2 = (X29 + 9)a^2
   \]

2. **For the \(ab\) terms:**
   \[
   6ab - 3ab - 6ab - 6ab = -9ab
   \]

3. **For the \(b^2\) terms:**
   \[
   b2 + b^2 - b^2 = b2
   \]

So, the simplified expression is:

\[
(X29 + 9)a^2 - 9ab + b2
\]

This is the simplified form of the given expression.

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

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Here are 5 questions related to the content:

1. How would you factor the expression if it had common factors?
2. What happens if you substitute specific values for \(a\) and \(b\)?
3. How would the expression change if \(X\) were known?
4. Can the expression be factored further depending on the value of \(X\)?
5. How does changing the sign of \(X\) affect the final expression?

**Tip:** When simplifying expressions, always combine like terms first to make the process more straightforward.

Learn how to simplify the expression X29a^2 + 6ab + b2(6a^2 - 3ab + b2) + 9a^2 - 6ab + b^2 - 6ab - b^2 step-by-step. This problem involves algebraic concepts such as simplifying expressions and combining like terms, suitable for Grades 7-9 students.

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