peform the operation (3x^2-10x-2)-(6x+3)

Answer 1

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:

\[ \boxed{3x^2 - 16x - 5} \]