Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-81\)
2. \(81a^{6}-36a^3+4\)
3. \(256p^{4}-9\)
4. \(b^2-196\)
5. \(81q^{6}-72q^3s+16s^2\)
6. \(49-64b^{16}\)
7. \(81p^2-36p+4\)
8. \(36b^2+12b+1\)
9. \(81p^2+36p+4\)
10. \(144b^{8}-264b^4+121\)
11. \(p^2-1\)
12. \(16q^2+8q+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-81=(x+9)(x-9)\)
2. \(81a^{6}-36a^3+4=(9a^3-2)^2\)
3. \(256p^{4}-9=(16p^2+3)(16p^2-3)\)
4. \(b^2-196=(b-14)(b+14)\)
5. \(81q^{6}-72q^3s+16s^2=(9q^3-4s)^2\)
6. \(49-64b^{16}=(7-8b^8)(7+8b^8)\)
7. \(81p^2-36p+4=(9p-2)^2\)
8. \(36b^2+12b+1=(6b+1)^2\)
9. \(81p^2+36p+4=(9p+2)^2\)
10. \(144b^{8}-264b^4+121=(12b^4-11)^2\)
11. \(p^2-1=(p+1)(p-1)\)
12. \(16q^2+8q+1=(4q+1)^2\)