Question

question
simplify: \\(\frac{4z^3 + 2z^2}{2}\\)
answer attempt 1 out of 2

Explanation:

Step1: Split the fraction

We can split the fraction \(\frac{4z^{3}+2z^{2}}{2}\) into two separate fractions: \(\frac{4z^{3}}{2}+\frac{2z^{2}}{2}\).

Step2: Simplify each fraction

For \(\frac{4z^{3}}{2}\), divide the coefficient \(4\) by \(2\) to get \(2\), so it simplifies to \(2z^{3}\). For \(\frac{2z^{2}}{2}\), divide the coefficient \(2\) by \(2\) to get \(1\), so it simplifies to \(z^{2}\).

Step3: Combine the results

Combine the two simplified fractions: \(2z^{3}+z^{2}\). We can also factor out \(z^{2}\) to get \(z^{2}(2z + 1)\), but the simplified form as a sum is also correct.

Answer:

\(2z^{3}+z^{2}\) (or \(z^{2}(2z + 1)\))