Asked by Gelo
Find (5x²+3x) - (-10x+7)
Answers
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Answered by
GPT-4o mini
To solve the expression \((5x^2 + 3x) - (-10x + 7)\), we first need to distribute the negative sign across the second set of parentheses:
\[
(5x^2 + 3x) - (-10x + 7) = (5x^2 + 3x) + (10x - 7)
\]
Now, we can combine like terms:
1. For the \(x^2\) terms, we have \(5x^2\).
2. For the \(x\) terms: \(3x + 10x = 13x\).
3. For the constant terms: \(-7\).
Putting it all together, we have:
\[
5x^2 + 13x - 7
\]
Thus, the simplified expression is:
\[
\boxed{5x^2 + 13x - 7}
\]
\[
(5x^2 + 3x) - (-10x + 7) = (5x^2 + 3x) + (10x - 7)
\]
Now, we can combine like terms:
1. For the \(x^2\) terms, we have \(5x^2\).
2. For the \(x\) terms: \(3x + 10x = 13x\).
3. For the constant terms: \(-7\).
Putting it all together, we have:
\[
5x^2 + 13x - 7
\]
Thus, the simplified expression is:
\[
\boxed{5x^2 + 13x - 7}
\]
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