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Algebraic Expressions Problems

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1. Perform the indicated operation and simplify a. ሺ3𝑥 − 2ሻሺ4𝑥 3 + 2𝑥 2 − 3𝑥ሻ = ሺ3𝑥ሻሺ4𝑥 3 ሻ + ሺ3𝑥ሻሺ2𝑥 2 ሻ + ሺ3𝑥ሻሺ−3𝑥ሻ + ሺ−2ሻሺ4𝑥 3 ሻ + ሺ−2ሻሺ2𝑥 2 ሻ + ሺ−2ሻሺ−3𝑥ሻ = 12𝑥 4 + 6𝑥 3 − 9𝑥 2 − 8𝑥 3 − 4𝑥 2 + 6𝑥 = 12𝑥 4 − 2𝑥 3 − 13𝑥 2 + 6𝑥 b. 𝑥 2 −16 𝑥 2 +4𝑥 = ÷ 𝑥 2 −8𝑥+16 𝑥3 ሺ𝑥 − 4ሻሺ𝑥 + 4ሻ 𝑥3 𝑥2 ∙ = ሺ𝑥 − 4ሻሺ𝑥 − 4ሻ 𝑥 − 4 𝑥ሺ𝑥 + 4ሻ 2. Factor the following completely: a. 3𝑥 3 − 81 = 3ሺ𝑥 3 − 27ሻ = 3ሺ𝑥 3 − 33 ሻ 𝐴𝑝𝑝𝑙𝑦 𝐷𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑜𝑓 𝐶𝑢𝑏𝑒𝑠 𝑓𝑜𝑟𝑚𝑢𝑙𝑎: 𝑥 3 − 𝑦 3 = ሺ𝑥 − 𝑦ሻሺ𝑥 2 + 𝑥𝑦 + 𝑦 2 ሻ 3ሺ𝑥 3 − 33 ሻ = 3ሺ𝑥 − 3ሻሺ𝑥 2 ...
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STAT 3215 Rasmussen Effect of Lead Levels in Human Bodies Research Study Sheet

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STAT 3215 Rasmussen Effect of Lead Levels in Human Bodies Research Study Sheet

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STAT 3215 Rasmussen Effect of Lead Levels in Human Bodies Research Study Sheet

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