Chapter 14.3, Problem 1BGP

To determine

Subtract the given equations,

(2x²+6x-4)-(x²+2x-4)

Explanation of Solution

Given information:

Polynomials,

(2x²+6x-4)-(x²+2x-4)

Formula used: Algebra Tiles

Calculation:

Opening the bracket of the given equation,

2x²+6x-4-x²-2x+4

Here, 2x² is represented by blue tiles, -x² is represented by red tile, 6x is represented by 6 green tiles, -4 is represented by 4 red tiles, -2x is represented by 2 red tiles and 4 is represented by 4 yellow tile.

  

On solving, 2x² and −x² substracts, 6x and -2x substracts, -4 and 4 substracts.

  

Result is x²+4x