Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-28a+196\)
2. \(25p^{4}+10p^2+1\)
3. \(121b^{16}-81s^2\)
4. \(q^2-49\)
5. \(64y^2+16y+1\)
6. \(9p^2-169\)
7. \(49s^2-100a^{10}\)
8. \(64a^2-112a+49\)
9. \(196s^{4}-81\)
10. \(225b^{6}-420b^3s+196s^2\)
11. \(b^2-196\)
12. \(s^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-28a+196=(a-14)^2\)
2. \(25p^{4}+10p^2+1=(5p^2+1)^2\)
3. \(121b^{16}-81s^2=(11b^8+9s)(11b^8-9s)\)
4. \(q^2-49=(q-7)(q+7)\)
5. \(64y^2+16y+1=(8y+1)^2\)
6. \(9p^2-169=(3p+13)(3p-13)\)
7. \(49s^2-100a^{10}=(7s-10a^5)(7s+10a^5)\)
8. \(64a^2-112a+49=(8a-7)^2\)
9. \(196s^{4}-81=(14s^2+9)(14s^2-9)\)
10. \(225b^{6}-420b^3s+196s^2=(15b^3-14s)^2\)
11. \(b^2-196=(b+14)(b-14)\)
12. \(s^2-64=(s+8)(s-8)\)