Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225q^{10}+210q^5+49\)
2. \(144q^{8}-264q^4x+121x^2\)
3. \(169b^{8}-156b^4y+36y^2\)
4. \(p^2-20p+100\)
5. \(144s^2-168s+49\)
6. \(25-64q^{10}\)
7. \(16s^2+88s+121\)
8. \(225a^{4}-420a^2p+196p^2\)
9. \(196a^{10}+252a^5+81\)
10. \(49q^{6}+168q^3+144\)
11. \(9q^2-66q+121\)
12. \(49x^2-100s^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225q^{10}+210q^5+49=(15q^5+7)^2\)
2. \(144q^{8}-264q^4x+121x^2=(12q^4-11x)^2\)
3. \(169b^{8}-156b^4y+36y^2=(13b^4-6y)^2\)
4. \(p^2-20p+100=(p-10)^2\)
5. \(144s^2-168s+49=(12s-7)^2\)
6. \(25-64q^{10}=(5-8q^5)(5+8q^5)\)
7. \(16s^2+88s+121=(4s+11)^2\)
8. \(225a^{4}-420a^2p+196p^2=(15a^2-14p)^2\)
9. \(196a^{10}+252a^5+81=(14a^5+9)^2\)
10. \(49q^{6}+168q^3+144=(7q^3+12)^2\)
11. \(9q^2-66q+121=(3q-11)^2\)
12. \(49x^2-100s^{6}=(7x-10s^3)(7x+10s^3)\)