# How do you write (2x^4 + 3x – 4) + (–3x + 4 + x^4) in standard form?

Jun 9, 2016

$3 {x}^{4}$

Or if you are required to include each rank

$3 {x}^{4} + 0 {x}^{3} + 0 {x}^{2} + 0 x + 0$

#### Explanation:

Because there is a plus between the brackets you do not have change the signs in the second brackets.

$\underline{\text{Suppose}}$ it had been a minus. Then you would have
$\text{ } \left(2 {x}^{4} + 3 x - 4\right) - \left(- 3 x + 4 + {x}^{2}\right)$
and this is like multiplying everything inside the second bracket by (-1).
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Write as:$\text{ "2x^4+3x-4" } - 3 x + 4 + {x}^{4}$

Grouping terms

$\text{ "2x^4+x^4" "+3x-3x" } - 4 + 4$

$\text{ "3x^4" " + 0" } + 0$

$3 {x}^{4}$