Subjects algebra

Factor Grouping

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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.