Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196p^2+28p+1\)
2. \(p^2+12p+36\)
3. \(p^2-36\)
4. \(q^2+28q+196\)
5. \(y^2-64\)
6. \(y^2-18y+81\)
7. \(144s^{10}+168s^5y+49y^2\)
8. \(36s^{10}-132s^5y+121y^2\)
9. \(9x^{10}+60x^5y+100y^2\)
10. \(-16a^2+225\)
11. \(25a^{6}-169x^2\)
12. \(q^2-4q+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196p^2+28p+1=(14p+1)^2\)
2. \(p^2+12p+36=(p+6)^2\)
3. \(p^2-36=(p+6)(p-6)\)
4. \(q^2+28q+196=(q+14)^2\)
5. \(y^2-64=(y-8)(y+8)\)
6. \(y^2-18y+81=(y-9)^2\)
7. \(144s^{10}+168s^5y+49y^2=(12s^5+7y)^2\)
8. \(36s^{10}-132s^5y+121y^2=(6s^5-11y)^2\)
9. \(9x^{10}+60x^5y+100y^2=(3x^5+10y)^2\)
10. \(-16a^2+225=(15-4a)(15+4a)\)
11. \(25a^{6}-169x^2=(5a^3+13x)(5a^3-13x)\)
12. \(q^2-4q+4=(q-2)^2\)