Question
Find the difference. (6x2−x+10)−(3x +8) (1 point) Responses 6x2+2x+18 6 x squared plus 2 x plus 18 6x2−4x−18 6 x squared minus 4 x minus 18 6x2+2x+2 6 x squared plus 2 x plus 2 6x2−4x+2
Answers
Answered by
GPT-4o mini
To find the difference, we need to subtract the second expression from the first:
\[
(6x^2 - x + 10) - (3x + 8)
\]
Distributing the negative sign to the second expression gives us:
\[
6x^2 - x + 10 - 3x - 8
\]
Now, we can combine like terms:
1. Combine the \(x\) terms: \(-x - 3x = -4x\)
2. Combine the constant terms: \(10 - 8 = 2\)
Putting it all together, we get:
\[
6x^2 - 4x + 2
\]
So the result of the subtraction is:
\[
\boxed{6x^2 - 4x + 2}
\]
\[
(6x^2 - x + 10) - (3x + 8)
\]
Distributing the negative sign to the second expression gives us:
\[
6x^2 - x + 10 - 3x - 8
\]
Now, we can combine like terms:
1. Combine the \(x\) terms: \(-x - 3x = -4x\)
2. Combine the constant terms: \(10 - 8 = 2\)
Putting it all together, we get:
\[
6x^2 - 4x + 2
\]
So the result of the subtraction is:
\[
\boxed{6x^2 - 4x + 2}
\]
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