Question

Which expression is equivalent to (3x² + 3x - 3) - (6x² - 4x - 2)?

Answer 1

A.
`12x^(4) -4x^(3) +3x^(2) +3x+20`

Explanation:

For this problem, we have to combine like terms.

Let's look at the equation:

`(12x^(4) -4x^(3) +7x+6)+(3x^(2) -4x+14)`

`12x^{4`,
`-4x^(3)`,
`3x^(2)` do not have any other like terms, so we keep all in the final answer.

`7x` and
`-4x` are like terms, so we combine them.
`7x-4x=3x`

14 and 6 are like terms, so we combine them. 14+6 = 20

Let's put everything into the final equation:

`12x^(4) -4x^(3) +3x^(2) +3x+20`

So, the final answer is A.
`12x^(4) -4x^(3) +3x^(2) +3x+20`

Hope this helps! If you have any questions about my work, leave them in the comments below!