Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49b^{4}-36x^2\)
2. \(25p^2-64b^{8}\)
3. \(49p^{10}-182p^5+169\)
4. \(p^2-196\)
5. \(144x^2-264x+121\)
6. \(169a^{4}-64s^2\)
7. \(4b^2+4b+1\)
8. \(169q^{10}-156q^5+36\)
9. \(81-100x^{8}\)
10. \(49y^2-256b^{8}\)
11. \(169y^2-225s^{4}\)
12. \(9s^2-196p^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49b^{4}-36x^2=(7b^2+6x)(7b^2-6x)\)
2. \(25p^2-64b^{8}=(5p-8b^4)(5p+8b^4)\)
3. \(49p^{10}-182p^5+169=(7p^5-13)^2\)
4. \(p^2-196=(p-14)(p+14)\)
5. \(144x^2-264x+121=(12x-11)^2\)
6. \(169a^{4}-64s^2=(13a^2+8s)(13a^2-8s)\)
7. \(4b^2+4b+1=(2b+1)^2\)
8. \(169q^{10}-156q^5+36=(13q^5-6)^2\)
9. \(81-100x^{8}=(9-10x^4)(9+10x^4)\)
10. \(49y^2-256b^{8}=(7y-16b^4)(7y+16b^4)\)
11. \(169y^2-225s^{4}=(13y-15s^2)(13y+15s^2)\)
12. \(9s^2-196p^{10}=(3s-14p^5)(3s+14p^5)\)