Question

(x³y² + 2x²y + (−x)) − (x²y + x − 8)

Rewrite the subtraction problem
the second polynomial.
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()+()
as adding the opposite
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Answer 1

To rewrite the subtraction problem as adding the opposite of the second polynomial, distribute the negative sign to each term within the parentheses and then combine like terms.

Step-by-step explanation:

To rewrite the subtraction problem (x³y² + 2x²y + (-x)) - (x²y + x - 8) as adding the opposite of the second polynomial, you need to distribute the negative sign to each term within the parentheses:

(x³y² + 2x²y + (-x)) - (x²y + x - 8) = x³y² + 2x²y - (-x²y - x + 8)

Now, you can combine like terms and simplify the expression further:

x³y² + 2x²y - (-x²y - x + 8) = x³y² + 2x²y + x²y + x - 8

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