Question

divide.
\frac{25x^{3} - 10x^{2} + 15}{5}

Explanation:

Step1: Divide each term by 5

We have the expression \(\frac{25x^3 - 10x^2 + 15}{5}\). We can split this into three separate fractions: \(\frac{25x^3}{5}-\frac{10x^2}{5}+\frac{15}{5}\).

Step2: Simplify each fraction

• For \(\frac{25x^3}{5}\), dividing 25 by 5 gives 5, so this simplifies to \(5x^3\).
• For \(\frac{10x^2}{5}\), dividing 10 by 5 gives 2, so this simplifies to \(2x^2\) (note the subtraction sign remains, so it's \(- 2x^2\)).
• For \(\frac{15}{5}\), dividing 15 by 5 gives 3, so this simplifies to \(3\).

Answer:

\(5x^3 - 2x^2 + 3\)