Question

Subtract (4x2 - x + 6) from (3x2 + 5x - 8).

A. O 7x2 + 6x - 14
B. 7x2 + 4x - 2
C.x2 - 6x + 14
D. -x2 + 6x - 14

Answer 1

`\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)=-x^2+6x-14`

Hence, option D is correct.

Explanation:

We have to subtract (4x² - x + 6) from (3x² + 5x - 8).

so

`\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)`

Remove parentheses:
`\left(a\right)=a`

`=3x^2+5x-8-\left(4x^2-x+6\right)`

`=3x^2+5x-8-4x^2+x-6`

Group like terms

`=3x^2-4x^2+5x+x-8-6`

Add similar elements:
`\:3x^2-4x^2=-x^2`

`=-x^2+5x+x-8-6`

Add similar elements:
`5x+x=6x`

`=-x^2+6x-8-6`

Subtract the numbers:
`-8-6=-14`

`=-x^2+6x-14`

Therefore,

`\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)=-x^2+6x-14`

Hence, option D is correct.