Jasonbradley
Home

(x-3)(x-8)+(x-4)(2x+9)

less than a minute read Jun 17, 2024
(x-3)(x-8)+(x-4)(2x+9)

Simplifying the Expression (x-3)(x-8) + (x-4)(2x+9)

This article will guide you through the process of simplifying the given algebraic expression: (x-3)(x-8) + (x-4)(2x+9)

Expanding the Products

To simplify the expression, we need to expand the products using the distributive property (also known as FOIL method):

  • (x-3)(x-8):

    • x * x = x²
    • x * -8 = -8x
    • -3 * x = -3x
    • -3 * -8 = 24
    • Combining the terms: x² - 11x + 24

  • (x-4)(2x+9):

    • x * 2x = 2x²
    • x * 9 = 9x
    • -4 * 2x = -8x
    • -4 * 9 = -36
    • Combining the terms: 2x² + x - 36

Combining Like Terms

Now, we have: (x² - 11x + 24) + (2x² + x - 36)

Combine the like terms:

  • x² + 2x² = 3x²
  • -11x + x = -10x
  • 24 - 36 = -12

Simplified Expression

Finally, the simplified form of the expression is: 3x² - 10x - 12

Related Post

Featured Posts