Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25q^2-70q+49\)
2. \(121s^2-1\)
3. \(225b^{6}-210b^3q+49q^2\)
4. \(4y^{8}-169\)
5. \(9b^2-84b+196\)
6. \(4y^2+36y+81\)
7. \(q^2-18q+81\)
8. \(25q^{12}-121s^2\)
9. \(q^2-225\)
10. \(y^2-169\)
11. \(121-225a^{14}\)
12. \(196b^{10}+420b^5x+225x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25q^2-70q+49=(5q-7)^2\)
2. \(121s^2-1=(11s+1)(11s-1)\)
3. \(225b^{6}-210b^3q+49q^2=(15b^3-7q)^2\)
4. \(4y^{8}-169=(2y^4+13)(2y^4-13)\)
5. \(9b^2-84b+196=(3b-14)^2\)
6. \(4y^2+36y+81=(2y+9)^2\)
7. \(q^2-18q+81=(q-9)^2\)
8. \(25q^{12}-121s^2=(5q^6+11s)(5q^6-11s)\)
9. \(q^2-225=(q-15)(q+15)\)
10. \(y^2-169=(y+13)(y-13)\)
11. \(121-225a^{14}=(11-15a^7)(11+15a^7)\)
12. \(196b^{10}+420b^5x+225x^2=(14b^5+15x)^2\)