Question

When `x^2 +3x-4` is subtracted from `x^ 3+3x^2 -2x` what is the difference?

Answer 1

`x^3+2x^2-5x+4`

Explanation:

To find the difference, write the equation as:

`(x^3+3x^2-2x)-(x^2+3x-4)`

Open the brackets, changing the sign according to the norm (multiplication of two negatives gives a positive, and of a negative and a positive gives a negative).

`x^3+3x^2-2x-x^2-3x+4`

Group the like terms.

`x^3+3x^2-x^2-2x-3x+4`

Combine like terms, taking note of the appropriate signs.

`x^3+2x^2-5x+4`