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\left(9x^{2}-6x+2\right)\ -\ \left(X^{2}+4-39\right)\
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GPT-4o mini
To simplify the expression \((9x^{2}-6x+2) - (x^{2}+4-39)\), we first need to simplify what's inside the second set of parentheses. We have the expression:
\[
x^{2} + 4 - 39
\]
This simplifies to:
\[
x^{2} - 35
\]
Now we can rewrite the entire expression:
\[
(9x^{2} - 6x + 2) - (x^{2} - 35)
\]
Now, we distribute the negative sign across the second set of parentheses:
\[
9x^{2} - 6x + 2 - x^{2} + 35
\]
Next, we combine like terms. First, we combine the \(x^{2}\) terms:
\[
9x^{2} - x^{2} = 8x^{2}
\]
Next, we combine the constant terms:
\[
2 + 35 = 37
\]
Thus, the expression simplifies to:
\[
8x^{2} - 6x + 37
\]
Therefore, the final simplified form of the expression is:
\[
\boxed{8x^{2} - 6x + 37}
\]
\[
x^{2} + 4 - 39
\]
This simplifies to:
\[
x^{2} - 35
\]
Now we can rewrite the entire expression:
\[
(9x^{2} - 6x + 2) - (x^{2} - 35)
\]
Now, we distribute the negative sign across the second set of parentheses:
\[
9x^{2} - 6x + 2 - x^{2} + 35
\]
Next, we combine like terms. First, we combine the \(x^{2}\) terms:
\[
9x^{2} - x^{2} = 8x^{2}
\]
Next, we combine the constant terms:
\[
2 + 35 = 37
\]
Thus, the expression simplifies to:
\[
8x^{2} - 6x + 37
\]
Therefore, the final simplified form of the expression is:
\[
\boxed{8x^{2} - 6x + 37}
\]
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