How do you subtract $(x^3 - x - 4) - (x^2 + x - 4)$ ?

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Answer 1 · 2018-06-01T19:28:52

See a solution process below:

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

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

Next, group like terms:

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

Now, combine like terms:

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

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

$x^3 - x^2 + (-2)x + 0$

$x^3 - x^2 - 2x$

This can be factored as:

$x(x - 2)(x + 1)$

Answer 2 · 2018-06-01T19:30:08

$x^3-x^2-2x$

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

$=x^3-x^2-2x$

How do you subtract (x^3 - x - 4) - (x^2 + x - 4)(x^3 - x - 4) - (x^2 + x - 4)?