Question

subtract $6x^2 - 7x - 2$ from $6x^2 - 2x + 6$ .

Explanation:

Step1: Write the subtraction expression

We need to subtract \(6x^{2}-7x - 2\) from \(6x^{2}-2x + 6\), so the expression is \((6x^{2}-2x + 6)-(6x^{2}-7x - 2)\).

Step2: Distribute the negative sign

Distribute the negative sign to each term inside the parentheses: \(6x^{2}-2x + 6-6x^{2}+7x + 2\).

Step3: Combine like terms

Combine the \(x^{2}\) terms: \(6x^{2}-6x^{2}=0\).
Combine the \(x\) terms: \(-2x + 7x = 5x\).
Combine the constant terms: \(6 + 2 = 8\).

Answer:

\(5x + 8\)