https://file.aiquickdraw.com/mathbot/file/1726024255842jb5tui78.jpg

The given expression is:

\[
7x^2 - 9x + 5 - 7(x^2 + 1)
\]

Let's simplify the expression step-by-step.

### Step 1: Distribute the \(-7\) across the terms inside the parentheses
\[
7x^2 - 9x + 5 - 7(x^2) - 7(1)
\]
\[
= 7x^2 - 9x + 5 - 7x^2 - 7
\]

### Step 2: Combine like terms
\[
(7x^2 - 7x^2) + (-9x) + (5 - 7)
\]
\[
= 0x^2 - 9x - 2
\]

### Step 3: Simplify the expression
\[
= -9x - 2
\]

So, the simplified expression is:

\[
\boxed{-9x - 2}
\]

Would you like more details or have any questions?

Here are some related questions you might find helpful:
1. How do you distribute terms in an algebraic expression?
2. What does it mean to combine like terms?
3. How do you factor out common terms from an algebraic expression?
4. What is the role of negative signs in distribution?
5. How do you solve equations once they are simplified?

**Tip:** Always check for like terms after distributing to ensure you've simplified the expression completely.

Simplify the expression 7x^2 - 9x + 5 - 7(x^2 + 1)

Learn how to simplify the algebraic expression 7x^2 - 9x + 5 - 7(x^2 + 1) step-by-step. This problem covers core algebraic concepts like distribution and combining like terms, making it suitable for Grades 7-9.

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