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(−5x² + 6x² − 43) + (6x¹ − x² + 12x + 12)
Express the answer in standard form.
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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.


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