1. **State the problem:** Factor the expression $5p^3 - 20p^2 + 5p^3 + 20p^2$ by grouping.
2. **Combine like terms:** First, combine the terms with the same powers of $p$.
$$5p^3 + 5p^3 = 10p^3$$
$$-20p^2 + 20p^2 = 0$$
So the expression simplifies to:
$$10p^3 + 0 = 10p^3$$
3. **Factor the simplified expression:** Since $10p^3$ is a single term, factor out the coefficient and the variable power:
$$10p^3 = 10 \times p^3$$
4. **Final answer:** The factored form is:
$$10p^3$$
Since the original expression simplifies to a single term, factoring by grouping is not necessary here.
Factor Grouping
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.