Question

simplify.
$(6t^2 + 7t + 5) - (4t^2 + 2t + 3)$

Explanation:

Step1: Distribute the negative sign

To simplify \((6t^2 + 7t + 5) - (4t^2 + 2t + 3)\), we first distribute the negative sign to each term inside the second parentheses:
\(6t^2 + 7t + 5 - 4t^2 - 2t - 3\)

Step2: Combine like terms

• For the \(t^2\) terms: \(6t^2 - 4t^2 = 2t^2\)
• For the \(t\) terms: \(7t - 2t = 5t\)
• For the constant terms: \(5 - 3 = 2\)

Putting it all together, we get \(2t^2 + 5t + 2\).

Answer:

\(2t^2 + 5t + 2\)