Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16y^2-169\)
2. \(9q^2-48q+64\)
3. \(25p^2-144\)
4. \(4a^{4}-1\)
5. \(p^2+4p+4\)
6. \(p^2-26p+169\)
7. \(196s^2-169q^{4}\)
8. \(p^2-81\)
9. \(121b^{6}+44b^3q+4q^2\)
10. \(4b^{6}+36b^3+81\)
11. \(9-196s^{16}\)
12. \(225y^{6}-60y^3+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16y^2-169=(4y+13)(4y-13)\)
2. \(9q^2-48q+64=(3q-8)^2\)
3. \(25p^2-144=(5p+12)(5p-12)\)
4. \(4a^{4}-1=(2a^2+1)(2a^2-1)\)
5. \(p^2+4p+4=(p+2)^2\)
6. \(p^2-26p+169=(p-13)^2\)
7. \(196s^2-169q^{4}=(14s-13q^2)(14s+13q^2)\)
8. \(p^2-81=(p+9)(p-9)\)
9. \(121b^{6}+44b^3q+4q^2=(11b^3+2q)^2\)
10. \(4b^{6}+36b^3+81=(2b^3+9)^2\)
11. \(9-196s^{16}=(3-14s^8)(3+14s^8)\)
12. \(225y^{6}-60y^3+4=(15y^3-2)^2\)