Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100s^2-9\)
2. \(49b^{14}-100x^2\)
3. \(144-121s^{6}\)
4. \(p^2-4p+4\)
5. \(36-49s^{16}\)
6. \(s^2-10s+25\)
7. \(a^2+16a+64\)
8. \(225y^2-s^{4}\)
9. \(p^2-16\)
10. \(196-81x^{6}\)
11. \(169x^{6}-156x^3+36\)
12. \(49y^{4}-28y^2+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100s^2-9=(10s+3)(10s-3)\)
2. \(49b^{14}-100x^2=(7b^7+10x)(7b^7-10x)\)
3. \(144-121s^{6}=(12-11s^3)(12+11s^3)\)
4. \(p^2-4p+4=(p-2)^2\)
5. \(36-49s^{16}=(6-7s^8)(6+7s^8)\)
6. \(s^2-10s+25=(s-5)^2\)
7. \(a^2+16a+64=(a+8)^2\)
8. \(225y^2-s^{4}=(15y-s^2)(15y+s^2)\)
9. \(p^2-16=(p-4)(p+4)\)
10. \(196-81x^{6}=(14-9x^3)(14+9x^3)\)
11. \(169x^{6}-156x^3+36=(13x^3-6)^2\)
12. \(49y^{4}-28y^2+4=(7y^2-2)^2\)