Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144b^2-264b+121\)
2. \(169a^{8}+364a^4+196\)
3. \(121p^2-196b^{12}\)
4. \(144b^{8}+312b^4q+169q^2\)
5. \(81p^{8}-36p^4+4\)
6. \(256b^2+96b+9\)
7. \(y^2-1\)
8. \(y^2+24y+144\)
9. \(225b^2-16\)
10. \(s^2-49\)
11. \(256a^{10}-160a^5b+25b^2\)
12. \(b^2-30b+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144b^2-264b+121=(12b-11)^2\)
2. \(169a^{8}+364a^4+196=(13a^4+14)^2\)
3. \(121p^2-196b^{12}=(11p-14b^6)(11p+14b^6)\)
4. \(144b^{8}+312b^4q+169q^2=(12b^4+13q)^2\)
5. \(81p^{8}-36p^4+4=(9p^4-2)^2\)
6. \(256b^2+96b+9=(16b+3)^2\)
7. \(y^2-1=(y+1)(y-1)\)
8. \(y^2+24y+144=(y+12)^2\)
9. \(225b^2-16=(15b+4)(15b-4)\)
10. \(s^2-49=(s+7)(s-7)\)
11. \(256a^{10}-160a^5b+25b^2=(16a^5-5b)^2\)
12. \(b^2-30b+225=(b-15)^2\)