Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-4p+4\)
2. \(64b^{10}-169x^2\)
3. \(81b^2+18b+1\)
4. \(b^2-196\)
5. \(49q^2-36b^{16}\)
6. \(y^2+14y+49\)
7. \(4a^{4}+52a^2y+169y^2\)
8. \(p^2-2p+1\)
9. \(s^2-36\)
10. \(196b^{8}-1\)
11. \(q^2-9\)
12. \(b^2-24b+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-4p+4=(p-2)^2\)
2. \(64b^{10}-169x^2=(8b^5+13x)(8b^5-13x)\)
3. \(81b^2+18b+1=(9b+1)^2\)
4. \(b^2-196=(b+14)(b-14)\)
5. \(49q^2-36b^{16}=(7q-6b^8)(7q+6b^8)\)
6. \(y^2+14y+49=(y+7)^2\)
7. \(4a^{4}+52a^2y+169y^2=(2a^2+13y)^2\)
8. \(p^2-2p+1=(p-1)^2\)
9. \(s^2-36=(s+6)(s-6)\)
10. \(196b^{8}-1=(14b^4+1)(14b^4-1)\)
11. \(q^2-9=(q-3)(q+3)\)
12. \(b^2-24b+144=(b-12)^2\)