Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100p^2+60p+9\)
2. \(225b^{10}+210b^5+49\)
3. \(36a^{6}+132a^3x+121x^2\)
4. \(4p^2+52p+169\)
5. \(225p^2-64\)
6. \(196a^{6}+252a^3+81\)
7. \(100s^{10}+140s^5y+49y^2\)
8. \(4b^{4}+28b^2+49\)
9. \(81q^{16}-49\)
10. \(y^2-18y+81\)
11. \(196p^{6}+420p^3x+225x^2\)
12. \(256p^{6}-288p^3x+81x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100p^2+60p+9=(10p+3)^2\)
2. \(225b^{10}+210b^5+49=(15b^5+7)^2\)
3. \(36a^{6}+132a^3x+121x^2=(6a^3+11x)^2\)
4. \(4p^2+52p+169=(2p+13)^2\)
5. \(225p^2-64=(15p+8)(15p-8)\)
6. \(196a^{6}+252a^3+81=(14a^3+9)^2\)
7. \(100s^{10}+140s^5y+49y^2=(10s^5+7y)^2\)
8. \(4b^{4}+28b^2+49=(2b^2+7)^2\)
9. \(81q^{16}-49=(9q^8+7)(9q^8-7)\)
10. \(y^2-18y+81=(y-9)^2\)
11. \(196p^{6}+420p^3x+225x^2=(14p^3+15x)^2\)
12. \(256p^{6}-288p^3x+81x^2=(16p^3-9x)^2\)