Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-25\)
2. \(36b^2-49a^{8}\)
3. \(b^2-9\)
4. \(64p^{4}-208p^2+169\)
5. \(q^2-225\)
6. \(64a^2-81\)
7. \(16a^{6}-88a^3+121\)
8. \(-64p^2+9\)
9. \(9p^{12}-4\)
10. \(121p^2-100b^{4}\)
11. \(49p^2+210p+225\)
12. \(s^2+20s+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-25=(p-5)(p+5)\)
2. \(36b^2-49a^{8}=(6b-7a^4)(6b+7a^4)\)
3. \(b^2-9=(b-3)(b+3)\)
4. \(64p^{4}-208p^2+169=(8p^2-13)^2\)
5. \(q^2-225=(q+15)(q-15)\)
6. \(64a^2-81=(8a+9)(8a-9)\)
7. \(16a^{6}-88a^3+121=(4a^3-11)^2\)
8. \(-64p^2+9=(3-8p)(3+8p)\)
9. \(9p^{12}-4=(3p^6+2)(3p^6-2)\)
10. \(121p^2-100b^{4}=(11p-10b^2)(11p+10b^2)\)
11. \(49p^2+210p+225=(7p+15)^2\)
12. \(s^2+20s+100=(s+10)^2\)