Question

Subtract `(4+2x+8x^2+3x^3)-(-8+2x-8x^2+3x^3)`?

Answer 1

See a solution process below:

Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

`4 + 2x + 8x^2 + 3x^3 + 8 - 2x + 8x^2 - 3x^3`

Next, group like terms:

`3x^3 - 3x^3 + 8x^2 + 8x^2 + 2x - 2x + 4 + 8`

Now, combine like terms:

`(3 - 3)x^3 + (8 + 8)x^2 + (2 - 2)x + (4 + 8)`

`0x^3 + 16x^2 + 0x + 12`

`16x^2 + 12`

Answer 2

`16x^2+12`

Explanation:

For formatting use:

hash (4+2x+8x^2+3x^3)-(-8+2x-8x^2+3x^3) hash

Have a look at https://socratic.org/help/symbols

Multiply EVERYTHING in the right bracket by (-1) This will change the sign between the brackets and all those inside the right brackets.

`(4+2x+8x^2+3x^3)+(8-2x+8x^2-3x^3)`

If you find it more straight forward do this:

`4+2x+8x^2+3x^3`
`ul(8-2x+8x^2-3x^3) larr" Add"`
`12+0+16x^2+0`

Giving:

`16x^2+12`