Question

Subtract: (2x^2-6x+7) - (5x^+2x-8)

Answer 1

−3x² − 8x − 1

Explanation:

(2x² − 6x + 7) − (5x² + 2x +8)

To find the opposite of 5x² + 2x + 8, find the opposite of each term.

2x² − 6x + 7 − 5x² − 2x − 8

Combine 2x² and −5x² to get −3x²

−3x² − 6x + 7 − 2x − 8

Combine −6x and −2x to get −8x.

−3x² − 8x + 7 − 8

Subtract 8 from 7 to get −1.

−3x² − 8x − 1

Answer 2

2x^2 - 6x + 7 - (5x^2 + 2x - 8)

Distributive a -1 to each term in the parentheses.

2x^2 - 6x + 7 - 5x^2 - 2x + 8

Combine like terms.

-3x^2 - 8x + 15 is the expression after being subtracted.