Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169y^2+130y+25\)
2. \(49-36a^{12}\)
3. \(4p^2+4p+1\)
4. \(q^2-28q+196\)
5. \(169a^{6}-312a^3+144\)
6. \(-4s^2+49\)
7. \(4s^{10}+4s^5+1\)
8. \(121x^2-196a^{6}\)
9. \(169s^{8}+364s^4+196\)
10. \(81s^{6}-1\)
11. \(q^2-36\)
12. \(b^2-12b+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169y^2+130y+25=(13y+5)^2\)
2. \(49-36a^{12}=(7-6a^6)(7+6a^6)\)
3. \(4p^2+4p+1=(2p+1)^2\)
4. \(q^2-28q+196=(q-14)^2\)
5. \(169a^{6}-312a^3+144=(13a^3-12)^2\)
6. \(-4s^2+49=(7-2s)(7+2s)\)
7. \(4s^{10}+4s^5+1=(2s^5+1)^2\)
8. \(121x^2-196a^{6}=(11x-14a^3)(11x+14a^3)\)
9. \(169s^{8}+364s^4+196=(13s^4+14)^2\)
10. \(81s^{6}-1=(9s^3+1)(9s^3-1)\)
11. \(q^2-36=(q-6)(q+6)\)
12. \(b^2-12b+36=(b-6)^2\)