Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64-49q^{14}\)
2. \(121p^2+44p+4\)
3. \(y^2-18y+81\)
4. \(81a^{10}+72a^5+16\)
5. \(49-16b^{12}\)
6. \(a^2+2a+1\)
7. \(225x^2-60x+4\)
8. \(49q^2-42q+9\)
9. \(25y^2-1\)
10. \(49p^2-4\)
11. \(b^2+26b+169\)
12. \(s^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64-49q^{14}=(8-7q^7)(8+7q^7)\)
2. \(121p^2+44p+4=(11p+2)^2\)
3. \(y^2-18y+81=(y-9)^2\)
4. \(81a^{10}+72a^5+16=(9a^5+4)^2\)
5. \(49-16b^{12}=(7-4b^6)(7+4b^6)\)
6. \(a^2+2a+1=(a+1)^2\)
7. \(225x^2-60x+4=(15x-2)^2\)
8. \(49q^2-42q+9=(7q-3)^2\)
9. \(25y^2-1=(5y+1)(5y-1)\)
10. \(49p^2-4=(7p+2)(7p-2)\)
11. \(b^2+26b+169=(b+13)^2\)
12. \(s^2-225=(s+15)(s-15)\)