Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9p^{6}+42p^3x+49x^2\)
2. \(121s^2-225a^{14}\)
3. \(9q^{12}-1\)
4. \(b^2-196\)
5. \(q^2-196\)
6. \(49p^2+28p+4\)
7. \(b^2+22b+121\)
8. \(81q^2+234q+169\)
9. \(121q^{6}+154q^3y+49y^2\)
10. \(-144q^2+121\)
11. \(100b^{12}-1\)
12. \(81p^{14}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9p^{6}+42p^3x+49x^2=(3p^3+7x)^2\)
2. \(121s^2-225a^{14}=(11s-15a^7)(11s+15a^7)\)
3. \(9q^{12}-1=(3q^6+1)(3q^6-1)\)
4. \(b^2-196=(b+14)(b-14)\)
5. \(q^2-196=(q-14)(q+14)\)
6. \(49p^2+28p+4=(7p+2)^2\)
7. \(b^2+22b+121=(b+11)^2\)
8. \(81q^2+234q+169=(9q+13)^2\)
9. \(121q^{6}+154q^3y+49y^2=(11q^3+7y)^2\)
10. \(-144q^2+121=(11-12q)(11+12q)\)
11. \(100b^{12}-1=(10b^6+1)(10b^6-1)\)
12. \(81p^{14}-1=(9p^7+1)(9p^7-1)\)