Question

Simplify
(4x² – 2x + 8) - (x² + 3x - 2)

Answer 1

3x^2 -5x +10

Explanation:

(4x² – 2x + 8) - (x² + 3x - 2)

Distribute the negative sign

(4x² – 2x + 8) - x² - 3x + 2

I like to line them up vertically

4x² – 2x + 8

-x² - 3x + 2

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3x^2 -5x +10

Answer 2

3x² – 5x + 10

Explanation:

(4x² – 2x + 8) - (x² + 3x - 2) =

Drop the first set of parentheses because it is unnecessary.

= 4x² – 2x + 8 - (x² + 3x - 2)

To get rid of the second set of parentheses, change every sign inside.

= 4x² – 2x + 8 - x² - 3x + 2

Now, combine like terms.

= 3x² – 5x + 10