Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81a^{8}-169y^2\)
2. \(p^2+28p+196\)
3. \(9a^2+24a+16\)
4. \(144s^2-264s+121\)
5. \(25q^{10}-90q^5y+81y^2\)
6. \(4b^2-25a^{6}\)
7. \(-144b^2+121\)
8. \(225b^{8}+210b^4y+49y^2\)
9. \(9x^{4}-48x^2+64\)
10. \(225s^{4}-210s^2+49\)
11. \(9-196a^{12}\)
12. \(16q^{6}-120q^3s+225s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81a^{8}-169y^2=(9a^4+13y)(9a^4-13y)\)
2. \(p^2+28p+196=(p+14)^2\)
3. \(9a^2+24a+16=(3a+4)^2\)
4. \(144s^2-264s+121=(12s-11)^2\)
5. \(25q^{10}-90q^5y+81y^2=(5q^5-9y)^2\)
6. \(4b^2-25a^{6}=(2b-5a^3)(2b+5a^3)\)
7. \(-144b^2+121=(11-12b)(11+12b)\)
8. \(225b^{8}+210b^4y+49y^2=(15b^4+7y)^2\)
9. \(9x^{4}-48x^2+64=(3x^2-8)^2\)
10. \(225s^{4}-210s^2+49=(15s^2-7)^2\)
11. \(9-196a^{12}=(3-14a^6)(3+14a^6)\)
12. \(16q^{6}-120q^3s+225s^2=(4q^3-15s)^2\)