# Chapter R - Section R.3 - Polynomials - R.3 Exercises: 42

9$p^{2}$ - 5p - 20

#### Work Step by Step

1. Apply the distributive property. 3(8$p^{2}$ - 5p) - 5(3$p^{2}$ - 2p + 4) = 3(8$p^{2}$) + 3(-5p) - 5(3$p^{2}$) - 5(-2p) - 5(4) = 24$p^{2}$ - 15p - 15$p^{2}$ + 10p - 20 2. Group like terms together. (24$p^{2}$ - 15$p^{2}$) + (-15p + 10p) - 20 3. Add like terms. 9$p^{2}$ - 5p - 20

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