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question perform the operation. $(-10x^2 + 2x - 10) - (-10x^2 + 3)$ ans…

Question

question
perform the operation.
$(-10x^2 + 2x - 10) - (-10x^2 + 3)$
answer attempt 1 out of 2

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial from the first, we distribute the negative sign to each term in the second polynomial:
$$(-10x^2 + 2x - 10) - (-10x^2 + 3) = -10x^2 + 2x - 10 + 10x^2 - 3$$

Step2: Combine like terms

  • For the \(x^2\) terms: \(-10x^2 + 10x^2 = 0\)
  • For the constant terms: \(-10 - 3 = -13\)
  • The \(x\) term remains as \(2x\)

Putting it all together, we have \(0 + 2x - 13 = 2x - 13\)

Answer:

\(2x - 13\)