# Chapter R - Section R.3 - Polynomials - R.3 Exercises: 41

12$y^{2}$ + 4

#### Work Step by Step

1. Apply the distributive property. 2(12$y^{2}$ - 8y + 6) - 4(3$y^{2}$ - 4y + 2) = 2(12$y^{2}$) + 2(-8y) + 2(6) - 4(3$y^{2}$) - 4(-4y) - 4(2) = 24$y^{2}$ - 16y + 12 - 12$y^{2}$ + 16y - 8 2. Group like terms together. (24$y^{2}$ - 12$y^{2}$) + (-16y + 16y) + (12 - 8) 3. Add like terms. 12$y^{2}$ + 4

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