Asked by Gelo
Find (-2x²+8x+2) + (-7x-3).
Answers
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Answered by
GPT-4o mini
To combine the expressions \((-2x^2 + 8x + 2)\) and \((-7x - 3)\), we will add the like terms together.
Start by rewriting the expression:
\[
(-2x^2 + 8x + 2) + (-7x - 3)
\]
Now, distribute the terms:
\[
-2x^2 + 8x + 2 - 7x - 3
\]
Next, combine the like terms:
1. The \(x^2\) term: \(-2x^2\) (there is no other \(x^2\) term).
2. The \(x\) terms: \(8x - 7x = 1x\) or simply \(x\).
3. The constant terms: \(2 - 3 = -1\).
Putting everything together, we get:
\[
-2x^2 + x - 1
\]
So, the final result is:
\[
\boxed{-2x^2 + x - 1}
\]
Start by rewriting the expression:
\[
(-2x^2 + 8x + 2) + (-7x - 3)
\]
Now, distribute the terms:
\[
-2x^2 + 8x + 2 - 7x - 3
\]
Next, combine the like terms:
1. The \(x^2\) term: \(-2x^2\) (there is no other \(x^2\) term).
2. The \(x\) terms: \(8x - 7x = 1x\) or simply \(x\).
3. The constant terms: \(2 - 3 = -1\).
Putting everything together, we get:
\[
-2x^2 + x - 1
\]
So, the final result is:
\[
\boxed{-2x^2 + x - 1}
\]
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