https://file.aiquickdraw.com/mathbot/file/1726710720315psxxsbre.jpg

The expression in the image reads as follows:

\[
3bx + 10bx^2 - 6b^2x + 4bx + 7bx^2
\]

Let's simplify this expression by combining like terms.

### Step 1: Combine \(bx\) terms.
We have:
\[
3bx + 4bx = 7bx
\]

### Step 2: Combine \(bx^2\) terms.
We have:
\[
10bx^2 + 7bx^2 = 17bx^2
\]

### Step 3: Rewrite the simplified expression.
The simplified expression is:
\[
7bx + 17bx^2 - 6b^2x
\]

Let me know if you need further details or clarification!

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Here are five related questions to extend this topic:
1. How would you factor the term \(7bx + 17bx^2\)?
2. What would the expression look like if \(b = 2\)?
3. How does this expression change when \(x = 1\)?
4. Can you express this in terms of a specific factorization?
5. How would you graph the function \(f(x) = 7bx + 17bx^2 - 6b^2x\)?

**Tip:** When simplifying algebraic expressions, always combine like terms first before attempting further operations like factoring or solving.

Simplify the algebraic expression: 16.3bx + 10bx^2 - 6b^2x + 4bx + 7bx^2

Simplify the expression 16.3bx + 10bx^2 - 6b^2x + 4bx + 7bx^2 by combining like terms. This problem highlights key algebraic principles such as combining similar terms in polynomial expressions. Suitable for Grades 9-11 students.

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