Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121y^2-16p^{16}\)
2. \(36q^2+12q+1\)
3. \(225y^2+390y+169\)
4. \(144b^{6}-1\)
5. \(49y^{6}-182y^3+169\)
6. \(-81q^2+25\)
7. \(144a^{8}+168a^4+49\)
8. \(9q^{8}-121y^2\)
9. \(81s^2-1\)
10. \(225a^{10}-64\)
11. \(4b^{10}+4b^5s+1s^2\)
12. \(b^2-2b+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121y^2-16p^{16}=(11y-4p^8)(11y+4p^8)\)
2. \(36q^2+12q+1=(6q+1)^2\)
3. \(225y^2+390y+169=(15y+13)^2\)
4. \(144b^{6}-1=(12b^3+1)(12b^3-1)\)
5. \(49y^{6}-182y^3+169=(7y^3-13)^2\)
6. \(-81q^2+25=(5-9q)(5+9q)\)
7. \(144a^{8}+168a^4+49=(12a^4+7)^2\)
8. \(9q^{8}-121y^2=(3q^4+11y)(3q^4-11y)\)
9. \(81s^2-1=(9s+1)(9s-1)\)
10. \(225a^{10}-64=(15a^5+8)(15a^5-8)\)
11. \(4b^{10}+4b^5s+1s^2=(2b^5+s)^2\)
12. \(b^2-2b+1=(b-1)^2\)