Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4s^2+20s+25\)
2. \(16b^2+8b+1\)
3. \(-256b^2+81\)
4. \(q^2+2q+1\)
5. \(9-169q^{14}\)
6. \(81y^{8}+90y^4+25\)
7. \(q^2-28q+196\)
8. \(169q^{6}-156q^3+36\)
9. \(25q^{4}-140q^2+196\)
10. \(p^2-16\)
11. \(196s^{10}+140s^5+25\)
12. \(100q^{6}+140q^3+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4s^2+20s+25=(2s+5)^2\)
2. \(16b^2+8b+1=(4b+1)^2\)
3. \(-256b^2+81=(9-16b)(9+16b)\)
4. \(q^2+2q+1=(q+1)^2\)
5. \(9-169q^{14}=(3-13q^7)(3+13q^7)\)
6. \(81y^{8}+90y^4+25=(9y^4+5)^2\)
7. \(q^2-28q+196=(q-14)^2\)
8. \(169q^{6}-156q^3+36=(13q^3-6)^2\)
9. \(25q^{4}-140q^2+196=(5q^2-14)^2\)
10. \(p^2-16=(p+4)(p-4)\)
11. \(196s^{10}+140s^5+25=(14s^5+5)^2\)
12. \(100q^{6}+140q^3+49=(10q^3+7)^2\)