Math Problem Statement

Subtract 10x^2 + 3 from 9x^2 + 4x + 1

Solution

To subtract the expression 10x2+310x^2 + 3 from 9x2+4x+19x^2 + 4x + 1, you perform the subtraction as follows:

(9x2+4x+1)(10x2+3)(9x^2 + 4x + 1) - (10x^2 + 3)

Distribute the negative sign across the second expression:

9x2+4x+110x239x^2 + 4x + 1 - 10x^2 - 3

Now, combine like terms:

  • Combine the x2x^2 terms: 9x210x2=x29x^2 - 10x^2 = -x^2
  • The xx term remains: 4x4x
  • Combine the constant terms: 13=21 - 3 = -2

So, the result is:

x2+4x2-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 x24x+2x^2 - 4x + 2?
  2. What is the derivative of the expression x2+4x2-x^2 + 4x - 2?
  3. How would you solve the equation x2+4x2=0-x^2 + 4x - 2 = 0?
  4. What is the value of x2+4x2-x^2 + 4x - 2 when x=2x = 2?
  5. How do you graph the quadratic function y=x2+4x2y = -x^2 + 4x - 2?

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