Question

(2x2+4x−8)−(4x2−x+1)

Enter your answer, in standard form, in the box.

Answer 1

The simplified expression is:

`-2x^2+5x-9`

Explanation:

We are asked to simplify the algebraic expression i.e. we are asked to subtract two algebraic expression which are in terms of variable x as:

`(2x^2+4x-8)-(4x^2-x+1)`

On taking out the terms from the second bracket the sign gets interchanged as follows:

`2x^2+4x-8-4x^2+x-1`

Now on combining the like terms and solving them we get:

`=2x^2-4x^2+4x+x-8-1\\\\=-2x^2+5x-9`

Answer 2

2x² + 4x - 8 - 4x² + x - 1

I rearranged it so that like terms are placed next to each other:
2x² - 4x² + 4x + x - 8 - 1

- 2x² + 5x - 9