subtract the following polynomials (5x³+2x²-4x+8)-(3x³-x²+2x-3

To subtract the polynomials \((5x^3 + 2x^2 - 4x + 8)\) and \((3x^3 - x^2 + 2x - 3)\), we subtract each corresponding term.

\[
(5x^3 + 2x^2 - 4x + 8) - (3x^3 - x^2 + 2x - 3)
\]

Distribute the negative sign across the second polynomial:

\[
= 5x^3 + 2x^2 - 4x + 8 - 3x^3 + x^2 - 2x + 3
\]

Now, combine the like terms:

\[
(5x^3 - 3x^3) + (2x^2 + x^2) + (-4x - 2x) + (8 + 3)
\]

This simplifies to:

\[
2x^3 + 3x^2 - 6x + 11
\]

So, the result of the subtraction is:

\[
2x^3 + 3x^2 - 6x + 11
\]

Would you like further details or have any questions?

Here are some related questions:
1. How do you subtract polynomials with more variables?
2. Can you explain how to subtract polynomials with different degrees?
3. What happens when subtracting polynomials with missing terms?
4. How do you handle subtraction with negative coefficients?
5. What are the real-world applications of polynomial subtraction?

**Tip:** Always distribute the negative sign carefully when subtracting polynomials to avoid errors!

subtract the following polynomials (5x³+2x²-4x+8)-(3x³-x²+2x-3)

Learn how to subtract polynomials (5x³+2x²-4x+8) and (3x³-x²+2x-3) with a detailed, step-by-step solution. This problem covers key algebraic concepts such as distributing negative signs and combining like terms. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation