Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121q^2-169\)
2. \(169a^{8}-196q^2\)
3. \(225q^2+210q+49\)
4. \(36a^2+12a+1\)
5. \(4q^2+20q+25\)
6. \(b^2+22b+121\)
7. \(-25q^2+1\)
8. \(b^2-16b+64\)
9. \(a^2-28a+196\)
10. \(y^2+12y+36\)
11. \(100q^2-180q+81\)
12. \(4b^{16}-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121q^2-169=(11q+13)(11q-13)\)
2. \(169a^{8}-196q^2=(13a^4+14q)(13a^4-14q)\)
3. \(225q^2+210q+49=(15q+7)^2\)
4. \(36a^2+12a+1=(6a+1)^2\)
5. \(4q^2+20q+25=(2q+5)^2\)
6. \(b^2+22b+121=(b+11)^2\)
7. \(-25q^2+1=(1-5q)(1+5q)\)
8. \(b^2-16b+64=(b-8)^2\)
9. \(a^2-28a+196=(a-14)^2\)
10. \(y^2+12y+36=(y+6)^2\)
11. \(100q^2-180q+81=(10q-9)^2\)
12. \(4b^{16}-81=(2b^8+9)(2b^8-9)\)