How do you simplify $(2x^3 - 4x^2 + 5) + (-x^2 - 3x + 1)$ ?

Question

1662 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-24T11:49:02

See the solution process below:

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

$2x^3 - 4x^2 + 5 - x^2 - 3x + 1$

Next, group like terms:

$2x^3 - 4x^2 - x^2 - 3x + 1 + 5$

Now, combine like terms:

$2x^3 - 4x^2 - 1x^2 - 3x + 1 + 5$

$2x^3 + (-4 - 1)x^2 - 3x + (1 + 5)$

$2x^3 + (-5)x^2 - 3x + 6$

$2x^3 - 5x^2 - 3x + 6$

How do you simplify (2x^3 - 4x^2 + 5) + (-x^2 - 3x + 1)(2x^3 - 4x^2 + 5) + (-x^2 - 3x + 1)?