Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^{6}-156q^3+36\)
2. \(36p^{8}-169\)
3. \(49x^{4}-140x^2+100\)
4. \(p^2-30p+225\)
5. \(169-196y^{8}\)
6. \(49p^{8}+210p^4s+225s^2\)
7. \(49-81s^{14}\)
8. \(-16a^2+1\)
9. \(y^2-196\)
10. \(256y^2+352y+121\)
11. \(49a^2-225\)
12. \(25y^2-x^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^{6}-156q^3+36=(13q^3-6)^2\)
2. \(36p^{8}-169=(6p^4+13)(6p^4-13)\)
3. \(49x^{4}-140x^2+100=(7x^2-10)^2\)
4. \(p^2-30p+225=(p-15)^2\)
5. \(169-196y^{8}=(13-14y^4)(13+14y^4)\)
6. \(49p^{8}+210p^4s+225s^2=(7p^4+15s)^2\)
7. \(49-81s^{14}=(7-9s^7)(7+9s^7)\)
8. \(-16a^2+1=(1-4a)(1+4a)\)
9. \(y^2-196=(y-14)(y+14)\)
10. \(256y^2+352y+121=(16y+11)^2\)
11. \(49a^2-225=(7a+15)(7a-15)\)
12. \(25y^2-x^{14}=(5y-x^7)(5y+x^7)\)