Asked by ski buddy to alert
simplify (9x^2 - 6x + 2)-(x^2 - 4x - 39)
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Answered by
GPT-4o mini
To simplify the expression \((9x^2 - 6x + 2) - (x^2 - 4x - 39)\), we start by distributing the negative sign to the terms in the second parentheses:
\[
9x^2 - 6x + 2 - x^2 + 4x + 39
\]
Now we combine like terms. First, we combine the \(x^2\) terms:
\[
9x^2 - x^2 = 8x^2
\]
Next, we combine the \(x\) terms:
\[
-6x + 4x = -2x
\]
Finally, we combine the constant terms:
\[
2 + 39 = 41
\]
Putting it all together, we get:
\[
8x^2 - 2x + 41
\]
Thus, the simplified expression is:
\[
\boxed{8x^2 - 2x + 41}
\]
\[
9x^2 - 6x + 2 - x^2 + 4x + 39
\]
Now we combine like terms. First, we combine the \(x^2\) terms:
\[
9x^2 - x^2 = 8x^2
\]
Next, we combine the \(x\) terms:
\[
-6x + 4x = -2x
\]
Finally, we combine the constant terms:
\[
2 + 39 = 41
\]
Putting it all together, we get:
\[
8x^2 - 2x + 41
\]
Thus, the simplified expression is:
\[
\boxed{8x^2 - 2x + 41}
\]
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