Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36s^2-169p^{10}\)
2. \(s^2-8s+16\)
3. \(225q^2-420q+196\)
4. \(49-64p^{16}\)
5. \(64b^{10}+80b^5+25\)
6. \(169-49a^{14}\)
7. \(25s^{6}-70s^3y+49y^2\)
8. \(b^2-4b+4\)
9. \(64b^2-80b+25\)
10. \(121x^2-225p^{12}\)
11. \(25y^2+120y+144\)
12. \(9-4y^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36s^2-169p^{10}=(6s-13p^5)(6s+13p^5)\)
2. \(s^2-8s+16=(s-4)^2\)
3. \(225q^2-420q+196=(15q-14)^2\)
4. \(49-64p^{16}=(7-8p^8)(7+8p^8)\)
5. \(64b^{10}+80b^5+25=(8b^5+5)^2\)
6. \(169-49a^{14}=(13-7a^7)(13+7a^7)\)
7. \(25s^{6}-70s^3y+49y^2=(5s^3-7y)^2\)
8. \(b^2-4b+4=(b-2)^2\)
9. \(64b^2-80b+25=(8b-5)^2\)
10. \(121x^2-225p^{12}=(11x-15p^6)(11x+15p^6)\)
11. \(25y^2+120y+144=(5y+12)^2\)
12. \(9-4y^{6}=(3-2y^3)(3+2y^3)\)