Jasonbradley
Home

(3x-2)(x+1)+2(x-5)^2-25

less than a minute read Jun 16, 2024
(3x-2)(x+1)+2(x-5)^2-25

Simplifying the Expression (3x-2)(x+1)+2(x-5)^2-25

This article will guide you through simplifying the expression (3x-2)(x+1)+2(x-5)^2-25 step-by-step.

Expanding the Expression

  1. Expand the first product: (3x-2)(x+1) = 3x(x+1) - 2(x+1) = 3x² + 3x - 2x - 2 = 3x² + x - 2

  2. Expand the second product: 2(x-5)² = 2(x-5)(x-5) = 2(x² - 5x - 5x + 25) = 2(x² - 10x + 25) = 2x² - 20x + 50

  3. Combine all the terms: 3x² + x - 2 + 2x² - 20x + 50 - 25

Combining Like Terms

  1. Combine the x² terms: 3x² + 2x² = 5x²

  2. Combine the x terms: x - 20x = -19x

  3. Combine the constant terms: -2 + 50 - 25 = 23

Final Simplified Expression

The simplified form of the expression (3x-2)(x+1)+2(x-5)^2-25 is: 5x² - 19x + 23

Related Post

Featured Posts