Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-49q^{16}\)
2. \(16a^2-24a+9\)
3. \(144b^2+264b+121\)
4. \(144a^{12}-25\)
5. \(4p^{6}+4p^3y+1y^2\)
6. \(121p^{8}-110p^4+25\)
7. \(y^2-30y+225\)
8. \(81q^{4}-234q^2+169\)
9. \(100p^{4}-49\)
10. \(100a^{8}+140a^4s+49s^2\)
11. \(121y^2-144a^{6}\)
12. \(81b^2-234b+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-49q^{16}=(3-7q^8)(3+7q^8)\)
2. \(16a^2-24a+9=(4a-3)^2\)
3. \(144b^2+264b+121=(12b+11)^2\)
4. \(144a^{12}-25=(12a^6+5)(12a^6-5)\)
5. \(4p^{6}+4p^3y+1y^2=(2p^3+y)^2\)
6. \(121p^{8}-110p^4+25=(11p^4-5)^2\)
7. \(y^2-30y+225=(y-15)^2\)
8. \(81q^{4}-234q^2+169=(9q^2-13)^2\)
9. \(100p^{4}-49=(10p^2+7)(10p^2-7)\)
10. \(100a^{8}+140a^4s+49s^2=(10a^4+7s)^2\)
11. \(121y^2-144a^{6}=(11y-12a^3)(11y+12a^3)\)
12. \(81b^2-234b+169=(9b-13)^2\)