Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81y^2-25s^{12}\)
2. \(16q^{6}-24q^3s+9s^2\)
3. \(100s^{8}+260s^4+169\)
4. \(225b^2+30b+1\)
5. \(225p^{12}-121\)
6. \(s^2-1\)
7. \(q^2-100\)
8. \(169-64p^{8}\)
9. \(9q^{16}-4s^2\)
10. \(a^2-2a+1\)
11. \(25-9p^{6}\)
12. \(36a^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81y^2-25s^{12}=(9y-5s^6)(9y+5s^6)\)
2. \(16q^{6}-24q^3s+9s^2=(4q^3-3s)^2\)
3. \(100s^{8}+260s^4+169=(10s^4+13)^2\)
4. \(225b^2+30b+1=(15b+1)^2\)
5. \(225p^{12}-121=(15p^6+11)(15p^6-11)\)
6. \(s^2-1=(s-1)(s+1)\)
7. \(q^2-100=(q-10)(q+10)\)
8. \(169-64p^{8}=(13-8p^4)(13+8p^4)\)
9. \(9q^{16}-4s^2=(3q^8+2s)(3q^8-2s)\)
10. \(a^2-2a+1=(a-1)^2\)
11. \(25-9p^{6}=(5-3p^3)(5+3p^3)\)
12. \(36a^2-121=(6a+11)(6a-11)\)