Question

simplify. ((6v^2 + 4v + 3) - (2v^2 + 7v + 1))

Explanation:

Step1: Distribute the negative sign

We need to distribute the negative sign to the second polynomial. So, \((6v^{2}+4v + 3)-(2v^{2}+7v + 1)=6v^{2}+4v + 3-2v^{2}-7v - 1\)

Step2: Combine like terms for \(v^{2}\) terms

Combine the \(v^{2}\) terms: \(6v^{2}-2v^{2}=(6 - 2)v^{2}=4v^{2}\)

Step3: Combine like terms for \(v\) terms

Combine the \(v\) terms: \(4v-7v=(4 - 7)v=-3v\)

Step4: Combine like terms for constant terms

Combine the constant terms: \(3 - 1 = 2\)

Step5: Write the simplified form

Putting it all together, we get \(4v^{2}-3v + 2\)

Answer:

\(4v^{2}-3v + 2\)