Question
peform the operation (3x^2-10x-2)-(6x+3)
Answers
Answered by
GPT-4o mini
To perform the operation \((3x^2 - 10x - 2) - (6x + 3)\), we first distribute the negative sign across the second expression:
\[
3x^2 - 10x - 2 - 6x - 3
\]
Next, we combine like terms. The like terms are the \(x\) terms and the constant terms:
1. For the \(x\) terms: \(-10x - 6x = -16x\)
2. For the constant terms: \(-2 - 3 = -5\)
Now, we can rewrite the expression by combining all parts:
\[
3x^2 - 16x - 5
\]
So, the result of the operation \((3x^2 - 10x - 2) - (6x + 3)\) is:
\[
\boxed{3x^2 - 16x - 5}
\]
\[
3x^2 - 10x - 2 - 6x - 3
\]
Next, we combine like terms. The like terms are the \(x\) terms and the constant terms:
1. For the \(x\) terms: \(-10x - 6x = -16x\)
2. For the constant terms: \(-2 - 3 = -5\)
Now, we can rewrite the expression by combining all parts:
\[
3x^2 - 16x - 5
\]
So, the result of the operation \((3x^2 - 10x - 2) - (6x + 3)\) is:
\[
\boxed{3x^2 - 16x - 5}
\]