Question
Subtract these polynomials.
(3x^2 - 2x + 5)-(x^2 + 3)=
(3x^2 - 2x + 5)-(x^2 + 3)=
Answers
GPT-4o mini
To subtract the polynomials \( (3x^2 - 2x + 5) - (x^2 + 3) \), you start by distributing the negative sign to each term in the second polynomial:
\[
(3x^2 - 2x + 5) - (x^2 + 3) = 3x^2 - 2x + 5 - x^2 - 3
\]
Next, combine like terms:
1. Combine the \(x^2\) terms: \(3x^2 - x^2 = 2x^2\)
2. Combine the \(x\) terms: \(-2x\) (there is no other \(x\) term to combine with)
3. Combine the constant terms: \(5 - 3 = 2\)
Putting it all together, we have:
\[
2x^2 - 2x + 2
\]
Thus, the result of subtracting the polynomials is:
\[
\boxed{2x^2 - 2x + 2}
\]
\[
(3x^2 - 2x + 5) - (x^2 + 3) = 3x^2 - 2x + 5 - x^2 - 3
\]
Next, combine like terms:
1. Combine the \(x^2\) terms: \(3x^2 - x^2 = 2x^2\)
2. Combine the \(x\) terms: \(-2x\) (there is no other \(x\) term to combine with)
3. Combine the constant terms: \(5 - 3 = 2\)
Putting it all together, we have:
\[
2x^2 - 2x + 2
\]
Thus, the result of subtracting the polynomials is:
\[
\boxed{2x^2 - 2x + 2}
\]