Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-1\)
2. \(169p^2+364p+196\)
3. \(256b^2+288b+81\)
4. \(4y^2-49b^{6}\)
5. \(169a^2+156a+36\)
6. \(-64p^2+9\)
7. \(-25p^2+169\)
8. \(25s^2-36p^{16}\)
9. \(100p^{4}+20p^2+1\)
10. \(q^2-2q+1\)
11. \(49-4a^{10}\)
12. \(p^2+24p+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-1=(s-1)(s+1)\)
2. \(169p^2+364p+196=(13p+14)^2\)
3. \(256b^2+288b+81=(16b+9)^2\)
4. \(4y^2-49b^{6}=(2y-7b^3)(2y+7b^3)\)
5. \(169a^2+156a+36=(13a+6)^2\)
6. \(-64p^2+9=(3-8p)(3+8p)\)
7. \(-25p^2+169=(13-5p)(13+5p)\)
8. \(25s^2-36p^{16}=(5s-6p^8)(5s+6p^8)\)
9. \(100p^{4}+20p^2+1=(10p^2+1)^2\)
10. \(q^2-2q+1=(q-1)^2\)
11. \(49-4a^{10}=(7-2a^5)(7+2a^5)\)
12. \(p^2+24p+144=(p+12)^2\)