Page 54 - Senior Math

Simplify each of the following. Under what conditions are the expressions undefined?
1) 𝑥(𝑥−3)(𝑥+6) 𝑥2+𝑥−12
3) (𝑥2−16𝑥+64)(𝑥+2) (𝑥2−64)(𝑥2−6𝑥−16)
5) 3𝑥(𝑥−8)(𝑥2+2𝑥−24) 15𝑥2(𝑥2−12𝑥+32)
Simplify each of the following. 7) 𝑥2+8𝑥+15 ∙ 𝑥2−9𝑥+18
𝑥−6 𝑥2−9
9) 𝑥2+9𝑥+20 ∙ 4𝑥2+16𝑥+16 8𝑥+16 𝑥2−25
2) 𝑥2(𝑥2+3𝑥+2) 2𝑥(𝑥−4)(𝑥+2)
4) 𝑥2(𝑥+2)(𝑥−4) 6𝑥(𝑥2+𝑥−20)
6) 𝑥3−9𝑥2 𝑥2−3𝑥−54
8)
𝑥2−6𝑥−16 ÷ 𝑥2−8𝑥 𝑥2−𝑦2 𝑥+𝑦
10) 3𝑥2+6𝑥+3 ÷ 12𝑥2−12 𝑥2−3𝑥−10 𝑥2−4
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