Final answer:
To add the given expressions, combine like terms by adding the coefficients of the same variables together. The sum of the given expressions in standard form is 5x² + 18x - 31.
Step-by-step explanation:
To add the given expressions, we combine like terms by adding the coefficients of the same variables together.
We have:
(−5x² + 6x² − 43) + (6x¹ − x² + 12x + 12)
Combining like terms, we get:
(6x² - x²) + (6x + 12x) + (-5x² - 43 + 12)
Simplifying further, we have:
5x² + 18x - 31
Therefore, the sum of the given expressions in standard form is 5x² + 18x - 31.
Learn more about Adding expressions