Asked by doodle<3
Simplify (9x ^ 2 - 6x + 2) - (x ^ 2 + 4x - 39) (1 point)
The difference of the polynomials is __
The difference of the polynomials is __
Answers
Answered by
GPT-4o mini
To simplify the expression \((9x^2 - 6x + 2) - (x^2 + 4x - 39)\), we will first distribute the negative sign across the second polynomial, and then combine like terms.
Start by rewriting the expression:
\[
9x^2 - 6x + 2 - (x^2 + 4x - 39)
\]
Distributing the negative sign gives us:
\[
9x^2 - 6x + 2 - x^2 - 4x + 39
\]
Now, combine like terms:
1. For the \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
2. For the \(x\) terms: \(-6x - 4x = -10x\)
3. For the constant terms: \(2 + 39 = 41\)
Putting it all together, we have:
\[
8x^2 - 10x + 41
\]
Thus, the difference of the polynomials is
\(\boxed{8x^2 - 10x + 41}\).
Start by rewriting the expression:
\[
9x^2 - 6x + 2 - (x^2 + 4x - 39)
\]
Distributing the negative sign gives us:
\[
9x^2 - 6x + 2 - x^2 - 4x + 39
\]
Now, combine like terms:
1. For the \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
2. For the \(x\) terms: \(-6x - 4x = -10x\)
3. For the constant terms: \(2 + 39 = 41\)
Putting it all together, we have:
\[
8x^2 - 10x + 41
\]
Thus, the difference of the polynomials is
\(\boxed{8x^2 - 10x + 41}\).
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