To subtract the expression \(10x^2 + 3\) from \(9x^2 + 4x + 1\), you perform the subtraction as follows:

\[
(9x^2 + 4x + 1) - (10x^2 + 3)
\]

Distribute the negative sign across the second expression:

\[
9x^2 + 4x + 1 - 10x^2 - 3
\]

Now, combine like terms:

- Combine the \(x^2\) terms: \(9x^2 - 10x^2 = -x^2\)
- The \(x\) term remains: \(4x\)
- Combine the constant terms: \(1 - 3 = -2\)

So, the result is:

\[
-x^2 + 4x - 2
\]

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. How do you factor the expression \(x^2 - 4x + 2\)?
2. What is the derivative of the expression \( -x^2 + 4x - 2\)?
3. How would you solve the equation \( -x^2 + 4x - 2 = 0\)?
4. What is the value of \( -x^2 + 4x - 2 \) when \(x = 2\)?
5. How do you graph the quadratic function \(y = -x^2 + 4x - 2\)?

**Tip:** When subtracting polynomials, always align like terms to avoid mistakes in the subtraction process.

Learn how to subtract polynomials step-by-step. In this example, we subtract 10x^2 + 3 from 9x^2 + 4x + 1 and simplify the result to -x^2 + 4x - 2. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation