Question

(3x3 + 12x2 - 10) - (5x3 - 4x2 - x + 5) =

Answer 1

-2x³ + 16x² + x - 15

Explanation:

Multiply the equation in the right bracket with the minus sign

3x3 + 12x2 - 10 - 5x3 + 4x2 + x - 5

Collect like terms

= 3x3 - 5x3 +12x2 + 4x2 + x - 10 - 5

= -2x³ + 16x² + x - 15

Answer 2

`-2x^3 + 16x^2+ x - 15`

Explanation:

`(3x^3 + 12x^2 - 10) - (5x^3 - 4x^2 - x + 5)`

Subtract the polynomials

To subtract we need to remove the parenthesis, multiply the negative sign inside the second parenthesis

`3x^3 + 12x^2 - 10-5x^3 +4x^2 + x - 5`

Now combine like terms

`-2x^3 + 16x^2+ x - 15`